37 results on '"Zhen Bi"'
Search Results
2. Landau ordering phase transitions beyond the Landau paradigm
- Author
-
Zhen Bi, Ethan Lake, and T. Senthil
- Subjects
Physics ,QC1-999 - Abstract
Continuous phase transitions associated with the onset of a spontaneously broken symmetry are thought to be successfully described by the Landau-Ginzburg-Wilson-Fisher theory of fluctuating order parameters. In this work, we show that such transitions can admit new universality classes which cannot be understood in terms of a theory of order parameter fluctuations. We explicitly demonstrate continuous time reversal symmetry breaking quantum phase transitions of 3+1-D bosonic systems described by critical theories expressed in terms of a deconfined gauge theory with massless Dirac fermions instead of the fluctuating Ising order parameter. We dub such phase transitions “Landau transitions beyond Landau description” (LBL). A key feature of our examples is that the stability of the LBL fixed points requires a crucial global symmetry, which is nonanomalous, unbroken, and renders no symmetry protected topological phase throughout the phase diagram. Despite this, there are elementary critical fluctuations of the phase transition that transform projectively under this symmetry group. We also construct examples of other novel quantum critical phenomena, notably a continuous Landau-forbidden deconfined critical point between two Landau-allowed phases in 3+1-D.
- Published
- 2020
- Full Text
- View/download PDF
3. Emergent fractons and algebraic quantum liquid from plaquette melting transitions
- Author
-
Yizhi You, Zhen Bi, and Michael Pretko
- Subjects
Physics ,QC1-999 - Abstract
Paramagnetic spin systems with spontaneously broken spatial symmetries, such as valence bond solid phases, can host topological defects carrying nontrivial quantum numbers, which enables the paradigm of deconfined quantum criticality. In this work, we study the properties of topological defects in valence plaquette solid (VPS) phases on square and cubic lattices. We show that the defects of the VPS order parameter, in addition to possessing nontrivial quantum numbers, have fracton mobility constraints deep in the VPS phase, which has been overlooked previously. The spinon inside a single vortex cannot move freely in any direction, while a dipolar pair of vortices with spinon pairs can only move perpendicularly to its dipole moment. These mobility constraints, while they persist, can potentially inhibit the condensation of vortices and preclude a continuous transition from the VPS to the Néel antiferromagnet. Instead, the VPS melting transition can be driven by proliferation of spinon dipoles. For example, we argue that a two-dimensional VPS can melt into a stable gapless phase in the form of an algebraic bond liquid with algebraic correlations and long-range entanglement. Such a bond liquid phase yields a concrete example of the elusive two-dimensional Bose metal with symmetry fractionalization. We also study the three-dimensional valence plaquette and valence cube ordered phase, and demonstrate that the topological defects therein also have fractonic dynamics. Possible nearby phases after melting the valence plaquettes or cubes are also discussed.
- Published
- 2020
- Full Text
- View/download PDF
4. Superconductivity near a Ferroelectric Quantum Critical Point in Ultralow-Density Dirac Materials
- Author
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Vladyslav Kozii, Zhen Bi, and Jonathan Ruhman
- Subjects
Physics ,QC1-999 - Abstract
The experimental observation of superconductivity in doped semimetals and semiconductors, where the Fermi energy is comparable to or smaller than the characteristic phonon frequencies, is not captured by the conventional theory. In this paper, we propose a mechanism for superconductivity in ultralow-density three-dimensional Dirac materials based on the proximity to a ferroelectric quantum critical point. We derive a low-energy theory that takes into account both the strong Coulomb interaction and the direct coupling between the electrons and the soft phonon modes. We show that the Coulomb repulsion is strongly screened by the lattice polarization near the critical point even in the case of a vanishing carrier density. Using a renormalization group analysis, we demonstrate that the effective electron-electron interaction is dominantly mediated by the transverse phonon mode. We find that the system generically flows towards strong electron-phonon coupling. Hence, we propose a new mechanism to simultaneously produce an attractive interaction and suppress strong Coulomb repulsion, which does not require retardation. For comparison, we perform the same analysis for covalent crystals, where lattice polarization is negligible. We obtain qualitatively similar results, though the screening of the Coulomb repulsion is much weaker. We then apply our results to study superconductivity in the low-density limit. We find a strong enhancement of the transition temperature upon approaching the quantum critical point. Finally, we also discuss scenarios to realize a topological p-wave superconducting state in covalent crystals close to the critical point.
- Published
- 2019
- Full Text
- View/download PDF
5. Adventure in Topological Phase Transitions in 3+1-D: Non-Abelian Deconfined Quantum Criticalities and a Possible Duality
- Author
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Zhen Bi and T. Senthil
- Subjects
Physics ,QC1-999 - Abstract
Continuous quantum phase transitions beyond the conventional paradigm of fluctuations of a symmetry-breaking order parameter are challenging for theory. These phase transitions often involve emergent deconfined gauge fields at the critical points as demonstrated in phase transitions between different broken-symmetry states of 2+1-dimensional quantum magnets, as well as those between symmetry-protected topological (SPT) phases. In this paper, we present several examples of deconfined quantum critical points between SPT phases in 3+1-D for both bosonic and fermionic systems. These critical theories can be formulated as non-Abelian gauge theories either in the infrared-free regime or in the conformal window when they flow to the Banks-Zaks fixed points. We explicitly demonstrate several interesting quantum critical phenomena. We describe situations in which the same phase transition allows for multiple universality classes controlled by distinct fixed points. We exhibit the possibility—which we dub “unnecessary quantum critical points”—of stable generic continuous phase transitions within the same phase. We present examples of interaction-driven, band-theory-forbidden, continuous phase transitions between two distinct band insulators. The understanding we develop leads us to suggest an interesting possible 3+1-D field theory duality between SU(2) gauge theory coupled to one massless adjoint Dirac fermion and the theory of a single massless Dirac fermion augmented by a decoupled topological field theory.
- Published
- 2019
- Full Text
- View/download PDF
6. Bridging fermionic and bosonic short range entangled states
- Author
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Yi-Zhuang You, Zhen Bi, Alex Rasmussen, Meng Cheng, and Cenke Xu
- Subjects
topological superconductor ,short range entangled state ,symmetry protected topological state ,gauge field ,Science ,Physics ,QC1-999 - Abstract
In this paper we construct bosonic short range entangled (SRE) states in all spatial dimensions by coupling a ${{\mathbb{Z}}}_{2}$ gauge field to fermionic SRE states with the same symmetries , and driving the ${{\mathbb{Z}}}_{2}$ gauge field to its confined phase. We demonstrate that this approach allows us to construct many examples of bosonic SRE states, and we demonstrate that the previous descriptions of bosonic SRE states such as the semiclassical nonlinear sigma model field theory and the Chern–Simons field theory can all be derived using the fermionic SRE states.
- Published
- 2015
- Full Text
- View/download PDF
7. Birefringence-like spin transport via linearly polarized antiferromagnetic magnons
- Author
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Jiahao Han, Ran Cheng, Zhen Bi, Liang Fu, Luqiao Liu, Junxiang Xiang, Pengxiang Zhang, Yabin Fan, Taqiyyah S. Safi, and Joseph Finley
- Subjects
Physics ,Angular momentum ,Condensed matter physics ,Spins ,Spintronics ,Magnon ,Demagnetizing field ,Biomedical Engineering ,Bioengineering ,02 engineering and technology ,010402 general chemistry ,021001 nanoscience & nanotechnology ,Condensed Matter Physics ,01 natural sciences ,Atomic and Molecular Physics, and Optics ,0104 chemical sciences ,Magnetic field ,Antiferromagnetism ,Condensed Matter::Strongly Correlated Electrons ,General Materials Science ,Electrical and Electronic Engineering ,0210 nano-technology ,Spin-½ - Abstract
Antiferromagnets (AFMs) possess great potential in spintronics because of their immunity to external magnetic disturbance, the absence of a stray field or the resonance in the terahertz range1,2. The coupling of insulating AFMs to spin–orbit materials3–7 enables spin transport via AFM magnons. In particular, spin transmission over several micrometres occurs in some AFMs with easy-axis anisotropy8,9. Easy-plane AFMs with two orthogonal, linearly polarized magnon eigenmodes own unique advantages for low-energy control of ultrafast magnetic dynamics2. However, it is commonly conceived that these magnon modes are less likely to transmit spins because of their vanishing angular momentum9–11. Here we report experimental evidence that an easy-plane insulating AFM, an α-Fe2O3 thin film, can efficiently transmit spins over micrometre distances. The spin decay length shows an unconventional temperature dependence that cannot be captured considering solely thermal magnon scatterings. We interpret our observations in terms of an interference of two linearly polarized, propagating magnons in analogy to the birefringence effect in optics. Furthermore, our devices can realize a bi-stable spin-current switch with a 100% on/off ratio under zero remnant magnetic field. These findings provide additional tools for non-volatile, low-field control of spin transport in AFM systems. Easy-plane antiferromagnet materials promise low-energy control of ultrafast magnetic dynamics in future spintronics applications, but host magnons with vanishing angular momentum, which makes spin transport via magnons unlikely. Through interference of two linearly polarized propagating magnons, spin transport over micrometre distances is yet possible.
- Published
- 2020
8. Yang-Lee edge singularity triggered entanglement transition
- Author
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Zhi-Cheng Yang, Zhen Bi, Shao-Kai Jian, and Xiao Chen
- Subjects
Physics ,Quantum Physics ,Strongly Correlated Electrons (cond-mat.str-el) ,Statistical Mechanics (cond-mat.stat-mech) ,FOS: Physical sciences ,Quantum entanglement ,Condensed Matter - Strongly Correlated Electrons ,symbols.namesake ,Singularity ,Critical point (thermodynamics) ,Excited state ,Quantum mechanics ,symbols ,Ising model ,Quantum Physics (quant-ph) ,Ground state ,Hamiltonian (quantum mechanics) ,Condensed Matter - Statistical Mechanics ,Potts model - Abstract
We show that a class of $\mathcal{PT}$ symmetric non-Hermitian Hamiltonians realizing the Yang-Lee edge singularity exhibits an entanglement transition in the long-time steady state evolved under the Hamiltonian. Such a transition is induced by a level crossing triggered by the critical point associated with the Yang-Lee singularity and hence is first-order in nature. At the transition, the entanglement entropy of the steady state jumps discontinuously from a volume-law to an area-law scaling. We exemplify this mechanism using a one-dimensional transverse field Ising model with additional imaginary fields, as well as the spin-1 Blume-Capel model and the three-state Potts model. We further make a connection to the forced-measurement induced entanglement transition in a Floquet non-unitary circuit subject to continuous measurements followed by post-selections. Our results demonstrate a new mechanism for entanglement transitions in non-Hermitian systems harboring a critical point., Updated to published version
- Published
- 2021
9. Numerical Study of Tip Leakage Vortex Around a NACA0009 Hydrofoil
- Author
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Lingxin Zhang, Zhen Bi, and Xueming Shao
- Subjects
Physics ,020401 chemical engineering ,Mechanical Engineering ,0103 physical sciences ,02 engineering and technology ,Mechanics ,0204 chemical engineering ,01 natural sciences ,010305 fluids & plasmas ,Leakage (electronics) ,Vortex - Abstract
In the tip clearance flow, the dominant vortex is the tip leakage vortex (TLV), which has a significant impact on the hydraulic and cavitation performance of axial flow machineries. In order to reveal the impact mechanism of the gap size on the TLV, gap flows with two gap sizes, i.e., τ=0.2 (2 mm) and τ=1.0 (10 mm), are numerically investigated. A NACA0009 hydrofoil is selected to create the gap flow, with an incoming velocity of 10 m/s and an attack angle of 10 deg. The results show that the two flow cases are significantly different in terms of vortex feature and the leakage flow distribution. In the small gap, a type of jet-pattern flow appears, whereas a type of rolling-pattern flow passes over the large gap. The vertical velocity gradient of the leakage flow has a decisive influence on the TLV trajectory. In addition, for the large gap, the axial velocity in the vortex center exceeds the incoming flow. This jet-like state of axial velocity can be maintained for a long distance, making the vortex more stable. However, the axial velocity in the case of τ=0.2 cannot stay at the jet-like state and rapidly switches to a wake-like state.
- Published
- 2021
10. Interplay of interactions and disorder at the superfluid-insulator transition: A dirty two-dimensional quantum critical point
- Author
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Hart Goldman, Alex Thomson, Laimei Nie, and Zhen Bi
- Subjects
Physics ,High Energy Physics::Lattice ,Gaussian fixed point ,02 engineering and technology ,Renormalization group ,Fixed point ,021001 nanoscience & nanotechnology ,01 natural sciences ,Superfluidity ,Quantum critical point ,0103 physical sciences ,Higgs boson ,010306 general physics ,0210 nano-technology ,Critical exponent ,Vector potential ,Mathematical physics - Abstract
We study the stability of the Wilson-Fisher fixed point of the quantum $\text{O}(2N)$ vector model to quenched disorder in the large-$N$ limit. While a random mass is strongly relevant at the Gaussian fixed point, its effect is screened by the strong interactions of the Wilson-Fisher fixed point. This enables a perturbative renormalization group study of the interplay of disorder and interactions about this fixed point. We show that, in contrast to the spiralling flows obtained in earlier double-$\ensuremath{\epsilon}$ expansions, the theory flows directly to a quantum critical point characterized by finite disorder and interactions. The critical exponents we obtain for this transition are in remarkable agreement with numerical studies of the superfluid-Mott glass transition. We additionally discuss the stability of this fixed point to scalar and vector potential disorder and use proposed boson-fermion dualities to make conjectures regarding the effects of weak disorder on dual Abelian Higgs and Chern-Simons-Dirac fermion theories when $N=1$.
- Published
- 2020
11. Emergent fractons and algebraic quantum liquid from plaquette melting transitions
- Author
-
Zhen Bi, Yizhi You, and Michael Pretko
- Subjects
High Energy Physics - Theory ,Physics ,Valence (chemistry) ,Condensed Matter - Mesoscale and Nanoscale Physics ,Strongly Correlated Electrons (cond-mat.str-el) ,Condensed matter physics ,High Energy Physics::Lattice ,FOS: Physical sciences ,Quantum number ,Topological defect ,Condensed Matter - Strongly Correlated Electrons ,High Energy Physics - Theory (hep-th) ,Mesoscale and Nanoscale Physics (cond-mat.mes-hall) ,Solid phases ,Condensed Matter::Strongly Correlated Electrons ,Algebraic number ,Quantum ,Fracton - Abstract
Paramagnetic spin systems with spontaneously broken spatial symmetries, such as valence bond solid (VBS) phases, can host topological defects carrying non-trivial quantum numbers, which enables the paradigm of deconfined quantum criticality. In this work, we study the properties of topological defects in valence plaquette solid (VPS) phases on square and cubic lattices. We show that the defects of the VPS order parameter, in addition to possessing non-trivial quantum numbers, have fracton mobility constraints deep in the VPS phase, which has been overlooked previously. The spinon inside a single vortex cannot move freely in any direction, while a dipolar pair of vortices with spinon pairs can only move perpendicular to its dipole moment. These mobility constraints, while they persist, can potentially inhibit the condensation of vortices and preclude a continuous transition from the VPS to the N\'eel antiferromagnet. Instead, the VPS melting transition can be driven by proliferation of spinon dipoles. For example, we argue that a $2d$ VPS can melt into a stable gapless phase in the form of an algebraic bond liquid with algebraic correlations and long range entanglement. Such a bond liquid phase yields a concrete example of the elusive $2d$ Bose metal with symmetry fractionalization. We also study $3d$ valence plaquette and valence cube ordered phase, and demonstrate that the topological defects therein also have fractonic dynamics. Possible nearby phases after melting the valence plaquettes or cubes are also discussed.
- Published
- 2020
12. Excitonic density wave and spin-valley superfluid in bilayer transition metal dichalcogenide
- Author
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Zhen Bi and Liang Fu
- Subjects
Electronic properties and materials ,Field (physics) ,Exciton ,Science ,Van Hove singularity ,FOS: Physical sciences ,General Physics and Astronomy ,02 engineering and technology ,Two-dimensional materials ,01 natural sciences ,General Biochemistry, Genetics and Molecular Biology ,Article ,Density wave theory ,symbols.namesake ,Condensed Matter - Strongly Correlated Electrons ,Electric field ,0103 physical sciences ,010306 general physics ,Physics ,Condensed Matter::Quantum Gases ,Condensed Matter - Materials Science ,Multidisciplinary ,Strongly Correlated Electrons (cond-mat.str-el) ,Spintronics ,Condensed matter physics ,Condensed Matter::Other ,Fermi level ,Materials Science (cond-mat.mtrl-sci) ,General Chemistry ,021001 nanoscience & nanotechnology ,Condensed Matter::Mesoscopic Systems and Quantum Hall Effect ,Magnetic field ,symbols ,Condensed Matter::Strongly Correlated Electrons ,0210 nano-technology - Abstract
Artificial moir\'e superlattices in 2d van der Waals heterostructure is a new venue for realizing and controlling correlated electronic phenomena. Recently, twisted bilayer WSe$_2$ emerged as a new robust moir\'e system hosting a correlated insulator at moir\'e half-filling over a range of twist angle. In this work, we present a theory of this insulating state as an excitonic density wave due to intervalley electron-hole pairing. We show that exciton condensation is strongly enhanced by a van Hove singularity near the Fermi level. Our theory explains the remarkable sensitivity of the insulating gap to the vertical electric field. In contrast, the gap is weakly reduced by a perpendicular magnetic field, with quadratic dependence at low field. The different responses to electric and magnetic field can be understood in terms of pair-breaking versus non-pair-breaking effects in a BCS analog of the system. We further predict superfluid spin transport in this electrical insulator, which can be detected by optical spin injection and spatial-temporal imaging., Comment: 10 pages, 8 figures. To appear in Nature Communications
- Published
- 2019
13. Landau ordering phase transitions beyond the Landau paradigm
- Author
-
T. Senthil, Ethan Lake, and Zhen Bi
- Subjects
Quantum phase transition ,Physics ,High Energy Physics - Theory ,Phase transition ,Strongly Correlated Electrons (cond-mat.str-el) ,010308 nuclear & particles physics ,Critical phenomena ,FOS: Physical sciences ,Symmetry group ,Global symmetry ,01 natural sciences ,Universality (dynamical systems) ,Theoretical physics ,Condensed Matter - Strongly Correlated Electrons ,High Energy Physics - Theory (hep-th) ,0103 physical sciences ,Ising model ,Symmetry breaking ,010306 general physics - Abstract
Continuous phase transitions associated with the onset of a spontaneously broken symmetry are thought to be successfully described by the Landau-Ginzburg-Wilson-Fisher theory of fluctuating order parameters. In this work we show that such transitions can admit new universality classes which cannot be understood in terms of a theory of order parameter fluctuations. We explicitly demonstrate continuous time reversal symmetry breaking quantum phase transitions of $3+1$-D bosonic systems described by critical theories expressed in terms of a deconfined gauge theory with massless Dirac fermions instead of the fluctuating Ising order parameter. We dub such phase transitions "Landau transitions beyond Landau description" (LBL). A key feature of our examples is that the stability of the LBL fixed points requires a crucial global symmetry, which is non-anomalous, unbroken, and renders no symmetry protected topological phase throughout the phase diagram. Despite this, there are elementary critical fluctuations of the phase transition that transform projectively under this symmetry group. We also construct examples of other novel quantum critical phenomena, notably a continuous Landau-forbidden deconfined critical point between two Landau-allowed phases in $3+1$-D., 18 pages, 6 figures
- Published
- 2019
14. Superconductivity near a Ferroelectric Quantum Critical Point in Ultralow-Density Dirac Materials
- Author
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Jonathan Ruhman, Zhen Bi, and Vladyslav Kozii
- Subjects
Superconductivity ,Physics ,Quantum Physics ,cond-mat.supr-con ,Condensed matter physics ,Phonon ,Condensed Matter - Superconductivity ,QC1-999 ,FOS: Physical sciences ,General Physics and Astronomy ,Fermi energy ,Electron ,Renormalization group ,Condensed Matter Physics ,01 natural sciences ,010305 fluids & plasmas ,Superconductivity (cond-mat.supr-con) ,Critical point (thermodynamics) ,Quantum critical point ,Condensed Matter::Superconductivity ,0103 physical sciences ,Coulomb ,010306 general physics ,Astronomical and Space Sciences - Abstract
Author(s): Kozii, V; Bi, Z; Ruhman, J | Abstract: The experimental observation of superconductivity in doped semimetals and semiconductors, where the Fermi energy is comparable to or smaller than the characteristic phonon frequencies, is not captured by the conventional theory. In this paper, we propose a mechanism for superconductivity in ultralow-density three-dimensional Dirac materials based on the proximity to a ferroelectric quantum critical point. We derive a low-energy theory that takes into account both the strong Coulomb interaction and the direct coupling between the electrons and the soft phonon modes. We show that the Coulomb repulsion is strongly screened by the lattice polarization near the critical point even in the case of a vanishing carrier density. Using a renormalization group analysis, we demonstrate that the effective electron-electron interaction is dominantly mediated by the transverse phonon mode. We find that the system generically flows towards strong electron-phonon coupling. Hence, we propose a new mechanism to simultaneously produce an attractive interaction and suppress strong Coulomb repulsion, which does not require retardation. For comparison, we perform the same analysis for covalent crystals, where lattice polarization is negligible. We obtain qualitatively similar results, though the screening of the Coulomb repulsion is much weaker. We then apply our results to study superconductivity in the low-density limit. We find a strong enhancement of the transition temperature upon approaching the quantum critical point. Finally, we also discuss scenarios to realize a topological p-wave superconducting state in covalent crystals close to the critical point.
- Published
- 2019
15. Adventure in Topological Phase Transitions in 3+1 -D: Non-Abelian Deconfined Quantum Criticalities and a Possible Duality
- Author
-
T. Senthil and Zhen Bi
- Subjects
Physics ,Quantum phase transition ,Phase transition ,Critical phenomena ,General Physics and Astronomy ,01 natural sciences ,Deconfinement ,010305 fluids & plasmas ,Universality (dynamical systems) ,Theoretical physics ,0103 physical sciences ,Symmetry breaking ,Abelian group ,010306 general physics ,Quantum - Abstract
A new theoretical analysis explores quantum phase transitions in the absence of symmetry breaking and identifies several strange and surprising quantum critical phenomena.
- Published
- 2019
16. Lattice Analysis of $SU(2)$ with 1 Adjoint Dirac Flavor
- Author
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Gurtej Kanwar, Michael L. Wagman, Anthony Grebe, Zhen Bi, Patrick J. Ledwith, and David Murphy
- Subjects
Quark ,Physics ,Strongly Correlated Electrons (cond-mat.str-el) ,Conformal field theory ,High Energy Physics::Lattice ,High Energy Physics::Phenomenology ,High Energy Physics - Lattice (hep-lat) ,FOS: Physical sciences ,Fermion ,Diquark ,Massless particle ,Theoretical physics ,Condensed Matter - Strongly Correlated Electrons ,High Energy Physics - Lattice ,Goldstone boson ,Composite fermion ,Chiral symmetry breaking - Abstract
Recently $SU(2)$ Yang-Mills theory with one massless adjoint Dirac quark flavor emerges as a novel critical theory that can describe the evolution between a trivial insulator and a topological insulator in AIII class in $3+1$ dimensions. There are several classes of conjectured infrared dynamics for this theory. One possibility is that the theory undergoes spontaneous chiral symmetry breaking, with two massless Goldstone bosons (the scalar diquark and its antiparticle) in the infrared. Another scenario, which is suggested by previous lattice studies by Athenodorou et al., is that the IR sector of the theory is a strongly interacting conformal field theory as the quark mass vanishes. The most recent theoretical proposals argue for a case that in the infrared a composite fermion composed of two quarks and an antiquark becomes massless and non-interacting as the quark mass goes to zero, while other sectors are decoupled from this low-energy fermion. This work expands upon previous studies by including the composite fermion to investigate which of these three potential scenarios captures the infrared behavior of this theory., Comment: presented at the 37th Annual International Symposium on Lattice Field Theory (LATTICE2019)
- Published
- 2019
- Full Text
- View/download PDF
17. Fractonic Matter in Symmetry-Enriched U(1) Gauge Theory
- Author
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Dominic J. Williamson, Meng Cheng, and Zhen Bi
- Subjects
Physics ,High Energy Physics - Theory ,Quantum Physics ,Strongly Correlated Electrons (cond-mat.str-el) ,FOS: Physical sciences ,02 engineering and technology ,Global symmetry ,021001 nanoscience & nanotechnology ,Translation (geometry) ,01 natural sciences ,Symmetry (physics) ,Theoretical physics ,Condensed Matter - Strongly Correlated Electrons ,High Energy Physics - Theory (hep-th) ,0103 physical sciences ,Homogeneous space ,Quasiparticle ,Topological order ,Gauge theory ,010306 general physics ,0210 nano-technology ,U-1 ,Quantum Physics (quant-ph) - Abstract
In this work we explore the interplay between global symmetry and the mobility of quasiparticle excitations. We show that fractonic matter naturally appears in a three dimensional U(1) gauge theory, enriched by global U(1) and translational symmetries, via the mechanism of anyonic spin-orbital coupling. We develop a systematic understanding of such symmetry-enforced mobility restrictions in terms of the classification of U(1) gauge theories enriched by U(1) and translational symmetries. We provide a unified construction of these phases by gauging layered symmetry-protected topological phases., 13 pages, 3 figures; v2 published version
- Published
- 2018
18. Lattice Construction of Duality with Non-Abelian Gauge Fields in 2+1D
- Author
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Yi-Zhuang You, Chao-Ming Jian, and Zhen Bi
- Subjects
High Energy Physics - Theory ,High Energy Physics::Lattice ,FOS: Physical sciences ,02 engineering and technology ,01 natural sciences ,High Energy Physics::Theory ,Condensed Matter - Strongly Correlated Electrons ,0103 physical sciences ,Gauge theory ,Abelian group ,010306 general physics ,Condensed Matter - Statistical Mechanics ,Boson ,Mathematical physics ,Physics ,Strongly Correlated Electrons (cond-mat.str-el) ,Statistical Mechanics (cond-mat.stat-mech) ,High Energy Physics::Phenomenology ,Fermion ,Lattice path ,021001 nanoscience & nanotechnology ,MAJORANA ,High Energy Physics - Theory (hep-th) ,Path integral formulation ,0210 nano-technology ,Majorana fermion - Abstract
The lattice construction of Euclidean path integrals has been a successful approach of deriving 2+1D field theory dualities with a U$(1)$ gauge field. In this work, we generalize this lattice construction to dualities with non-Abelian gauge fields. We construct the Euclidean spacetime lattice path integral for a theory with strongly-interacting $SO(3)$ vector bosons and Majorana fermions coupled to an $SO(3)$ gauge field and derive an exact duality between this theory and the theory of a free Majorana fermion on the spacetime lattice. We argue that this lattice duality implies the desired infrared duality between the field theory with an $SO(3)$ vector critical boson coupled to an $SO(3)_1$ Chern-Simons gauge theory, and a free massless Majorana fermion in 2+1D. We also generalize the lattice construction of dualities to models with $O(3)$ gauge fields., 7 pages+Appendix
- Published
- 2018
19. A model for continuous thermal Metal to Insulator Transition
- Author
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Zhen Bi, Cenke Xu, and Chao-Ming Jian
- Subjects
High Energy Physics - Theory ,Quantum phase transition ,Physics ,Condensed matter physics ,Strongly Correlated Electrons (cond-mat.str-el) ,FOS: Physical sciences ,Insulator (electricity) ,01 natural sciences ,7. Clean energy ,Fick's laws of diffusion ,010305 fluids & plasmas ,Metal ,Condensed Matter - Strongly Correlated Electrons ,High Energy Physics - Theory (hep-th) ,visual_art ,Quantum critical point ,0103 physical sciences ,Thermal ,visual_art.visual_art_medium ,Condensed Matter::Strongly Correlated Electrons ,Symmetry breaking ,010306 general physics ,Majorana fermion - Abstract
We propose a $d-$dimensional interacting Majorana fermion model with quenched disorder, which gives us a continuous quantum phase transition between a diffusive thermal metal phase with a finite entropy density to an insulator phase with zero entropy density. This model is based on coupled Sachdev-Ye-Kitaev model clusters, and hence has a controlled large-$N$ limit. The metal-insulator transition is accompanied by a spontaneous time-reversal symmetry breaking. We perform controlled calculations to show that the diffusion constant jumps to zero discontinuously at the metal-insulator transition, while the time-reversal symmetry breaking order parameter increases continuously., Comment: 11 pages
- Published
- 2017
- Full Text
- View/download PDF
20. Deconfined Quantum Critical Point on the Triangular Lattice
- Author
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Alex Thomson, Alex Rasmussen, Chao-Ming Jian, Zhen Bi, and Cenke Xu
- Subjects
Quantum phase transition ,Physics ,Valence (chemistry) ,Strongly Correlated Electrons (cond-mat.str-el) ,High Energy Physics::Lattice ,FOS: Physical sciences ,01 natural sciences ,Square lattice ,010305 fluids & plasmas ,Condensed Matter - Strongly Correlated Electrons ,Critical point (thermodynamics) ,Quantum critical point ,0103 physical sciences ,Homogeneous space ,Antiferromagnetism ,Hexagonal lattice ,010306 general physics ,Mathematical physics - Abstract
In this work we propose a theory for the deconfined quantum critical point (DQCP) for spin-1/2 systems on a triangular lattice, which is a direct unfine-tuned quantum phase transition between the standard ``$\sqrt{3}\ifmmode\times\else\texttimes\fi{}\sqrt{3}$'' noncollinear antiferromagnetic order (or the so-called ${120}^{\ensuremath{\circ}}$ state) and the ``$\sqrt{12}\ifmmode\times\else\texttimes\fi{}\sqrt{12}$'' valence solid bond (VBS) order, both of which are very standard ordered phases often observed in numerical simulations. This transition is beyond the standard Landau-Ginzburg paradigm and is also fundamentally different from the original DQCP theory on the square lattice due to the very different structures of both the magnetic and VBS order on frustrated lattices. We first propose a topological term in the effective-field theory that captures the ``intertwinement'' between the $\sqrt{3}\ifmmode\times\else\texttimes\fi{}\sqrt{3}$ antiferromagnetic order and the $\sqrt{12}\ifmmode\times\else\texttimes\fi{}\sqrt{12}$ VBS order. Then using a controlled renormalization-group calculation, we demonstrate that an unfine-tuned direct continuous DQCP exists between the two ordered phases mentioned above. This DQCP is described by the ${N}_{f}=4$ quantum electrodynamics (QED) with an emergent PSU(4)=SU(4)/${Z}_{4}$ symmetry only at the critical point. The aforementioned topological term is also naturally derived from the ${N}_{f}=4$ QED. We also point out that physics around this DQCP is analogous to the boundary of a $3d$ bosonic symmetry- protected topological state with only on-site symmetries.
- Published
- 2017
- Full Text
- View/download PDF
21. Instability of the non-Fermi liquid state of the Sachdev-Ye-Kitaev Model
- Author
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Zhen Bi, Cenke Xu, Yi-Zhuang You, Kelly Ann Pawlak, and Chao-Ming Jian
- Subjects
High Energy Physics - Theory ,Quantum phase transition ,Coupling constant ,Physics ,Strongly Correlated Electrons (cond-mat.str-el) ,010308 nuclear & particles physics ,Critical phenomena ,Spontaneous symmetry breaking ,FOS: Physical sciences ,01 natural sciences ,Instability ,Condensed Matter - Strongly Correlated Electrons ,Explicit symmetry breaking ,High Energy Physics - Theory (hep-th) ,Quantum mechanics ,0103 physical sciences ,Fermi liquid theory ,Symmetry breaking ,010306 general physics - Abstract
We study a series of perturbations on the Sachdev-Ye-Kitaev (SYK) model. We show that the chaotic non-Fermi liquid phase described by the ordinary $q = 4$ SYK model has marginally relevant/irrelevant (depending on the sign of the coupling constants) four-fermion perturbations allowed by symmetry. Changing the sign of one of these four-fermion perturbations leads to a continuous chaotic-nonchaotic quantum phase transition of the system accompanied by a spontaneous time-reversal symmetry breaking. Starting with the SYK$_q$ model with a $q-$fermion interaction, similar perturbations can lead to a series of new interacting conformal field theory fixed points., Comment: 11 pages, 8 figures
- Published
- 2017
- Full Text
- View/download PDF
22. Exotic quantum critical point on the surface of three-dimensional topological insulator
- Author
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Yi-Zhuang You, Zhen Bi, and Cenke Xu
- Subjects
Quantum phase transition ,Physics ,02 engineering and technology ,021001 nanoscience & nanotechnology ,Scaling dimension ,01 natural sciences ,Topological defect ,symbols.namesake ,Dirac fermion ,Quantum critical point ,Topological insulator ,Quantum mechanics ,0103 physical sciences ,Bosonic field ,symbols ,Gauge theory ,010306 general physics ,0210 nano-technology - Abstract
In the last few years a lot of exotic and anomalous topological phases were constructed by proliferating the vortexlike topological defects on the surface of the $3d$ topological insulator (TI) [Fidkowski et al., Phys. Rev. X 3, 041016 (2013); Chen et al., Phys. Rev. B 89, 165132 (2014); Bonderson et al., J. Stat. Mech. (2013) P09016; Wang et al., Phys. Rev. B 88, 115137 (2013); Metlitski et al., Phys. Rev. B 92, 125111 (2015)]. In this work, rather than considering topological phases at the boundary, we will study quantum critical points driven by vortexlike topological defects. In general, we will discuss a $(2+1)d$ quantum phase transition described by the following field theory: $\mathcal{L}=\overline{\ensuremath{\psi}}{\ensuremath{\gamma}}_{\ensuremath{\mu}}({\ensuremath{\partial}}_{\ensuremath{\mu}}\ensuremath{-}i{a}_{\ensuremath{\mu}})\ensuremath{\psi}+|({\ensuremath{\partial}}_{\ensuremath{\mu}}\ensuremath{-}ik{a}_{\ensuremath{\mu}}){\ensuremath{\phi}|}^{2}+{r|\ensuremath{\phi}|}^{2}+g{|\ensuremath{\phi}|}^{4}$, with tuning parameter $r$, arbitrary integer $k$, Dirac fermion $\ensuremath{\psi}$, and complex scalar bosonic field $\ensuremath{\phi}$, which both couple to the same $(2+1)d$ dynamical noncompact U(1) gauge field ${a}_{\ensuremath{\mu}}$. The physical meaning of these quantities/fields will be explained in the text. Making use of the new duality formalism developed in [Metlitski et al., Phys. Rev. B 93, 245151 (2016); Wang et al., Phys. Rev. X 5, 041031 (2015); Wang et al., Phys. Rev. B 93, 085110 (2016); D. T. Son, Phys. Rev. X 5, 031027 (2015)], we demonstrate that this quantum critical point has a quasi-self-dual nature. And at this quantum critical point, various universal quantities such as the electrical conductivity and scaling dimension of gauge-invariant operators, can be calculated systematically through a $1/{k}^{2}$ expansion, based on the observation that the limit $k\ensuremath{\rightarrow}+\ensuremath{\infty}$ corresponds to an ordinary $3d XY$ transition.
- Published
- 2016
23. Out-of-Time-Order Correlation in Marginal Many-Body Localized Systems
- Author
-
Kevin Slagle, Zhen Bi, Cenke Xu, and Yi-Zhuang You
- Subjects
Physics ,Strongly Correlated Electrons (cond-mat.str-el) ,Spectrum (functional analysis) ,Order (ring theory) ,FOS: Physical sciences ,Disordered Systems and Neural Networks (cond-mat.dis-nn) ,Renormalization group ,Condensed Matter - Disordered Systems and Neural Networks ,01 natural sciences ,Many body ,010305 fluids & plasmas ,Combinatorics ,Condensed Matter - Strongly Correlated Electrons ,0103 physical sciences ,010306 general physics - Abstract
We show that the out-of-time-order correlation (OTOC) $ \langle W(t)^\dagger V(0)^\dagger W(t)V(0)\rangle$ in many-body localized (MBL) and marginal MBL systems can be efficiently calculated by the spectrum bifurcation renormalization group (SBRG). We find that in marginal MBL systems, the scrambling time $t_\text{scr}$ follows a stretched exponential scaling with the distance $d_{WV}$ between the operators $W$ and $V$: $t_\text{scr}\sim\exp(\sqrt{d_{WV}/l_0})$, which demonstrates Sinai diffusion of quantum information and the enhanced scrambling by the quantum criticality in non-chaotic systems., Comment: 6 pages, 4 figures
- Published
- 2016
- Full Text
- View/download PDF
24. Quantum Phase Transitions Between Bosonic Symmetry Protected Topological States Without Sign Problem: Nonlinear Sigma Model with a Topological Term
- Author
-
Zhen Bi, Cenke Xu, Yi-Zhuang You, and Dan Mao
- Subjects
Physics ,Quantum phase transition ,Phase transition ,Strongly Correlated Electrons (cond-mat.str-el) ,Sigma model ,Conformal field theory ,FOS: Physical sciences ,Fermion ,Topology ,01 natural sciences ,010305 fluids & plasmas ,Condensed Matter - Strongly Correlated Electrons ,Chiral model ,Quantum mechanics ,0103 physical sciences ,Topological order ,010306 general physics ,Central charge - Abstract
We propose a series of simple $2d$ lattice interacting fermion models that we demonstrate at low energy describe bosonic symmetry protected topological (SPT) states and quantum phase transitions between them. This is because due to interaction the fermions are gapped both at the boundary of the SPT states and at the bulk quantum phase transition, thus these models at low energy can be described completely by bosonic degrees of freedom. We show that the bulk of these models is described by a Sp($N$) principal chiral model with a topological $\Theta$-term, whose boundary is described by a Sp($N$) principal chiral model with a Wess-Zumino-Witten term at level-1. The quantum phase transition between SPT states in the bulk is tuned by a particular interaction term, which corresponds to tuning $\Theta$ in the field theory, and the phase transition occurs at $\Theta = \pi$. The simplest version of these models with $N=1$ is equivalent to the familiar O(4) nonlinear sigma model (NLSM) with a topological term, whose boundary is a $(1+1)d$ conformal field theory with central charge $c = 1$. After breaking the O(4) symmetry to its subgroups, this model can be viewed as bosonic SPT states with U(1), or $Z_2$ symmetries, etc. All these fermion models including the bulk quantum phase transitions can be simulated with determinant Quantum Monte Carlo method without the sign problem. Recent numerical results strongly suggests that the quantum disordered phase of the O(4) NLSM with precisely $\Theta = \pi$ is a stable $(2+1)d$ conformal field theory (CFT) with gapless bosonic modes., Comment: 10 pages, 3 figures
- Published
- 2015
25. Classification and description of bosonic symmetry protected topological phases with semiclassical nonlinear sigma models
- Author
-
Zhen Bi, Alex Rasmussen, Cenke Xu, and Kevin Slagle
- Subjects
Physics ,Strongly Correlated Electrons (cond-mat.str-el) ,Sigma model ,Group cohomology ,FOS: Physical sciences ,Sigma ,Semiclassical physics ,Astrophysics::Cosmology and Extragalactic Astrophysics ,Condensed Matter Physics ,Topology ,Cohomology ,Electronic, Optical and Magnetic Materials ,Condensed Matter - Strongly Correlated Electrons ,Nonlinear system ,Lattice (order) ,Homogeneous space - Abstract
In this paper we systematically classify and describe bosonic symmetry protected topological (SPT) phases in all physical spatial dimensions using semiclassical nonlinear Sigma model (NLSM) field theories. All the SPT phases on a $d-$dimensional lattice discussed in this paper can be described by the same NLSM, which is an O(d+2) NLSM in $(d+1)-$dimensional space-time, with a topological $\Theta-$term. The field in the NLSM is a semiclassical Landau order parameter with a unit length constraint. The classification of SPT phases discussed in this paper based on their NLSMs is consistent with the more mathematical classification based on group cohomology. Besides the classification, the formalism used in this paper also allows us to explicitly discuss the physics at the boundary of the SPT phases, and it reveals the relation between SPT phases with different symmetries. For example, it gives many of these SPT states a natural "decorated defect" construction., Comment: 16 pages
- Published
- 2015
26. Construction and Field Theory of Bosonic Symmetry Protected Topological states beyond Group Cohomology
- Author
-
Zhen Bi and Cenke Xu
- Subjects
Physics ,Strongly Correlated Electrons (cond-mat.str-el) ,Group cohomology ,FOS: Physical sciences ,Condensed Matter Physics ,Topology ,Symmetry protected topological order ,Electronic, Optical and Magnetic Materials ,Topological defect ,Condensed Matter - Strongly Correlated Electrons ,Effective field theory ,Order (group theory) ,Equivariant cohomology ,Field theory (psychology) ,Symmetry (geometry) - Abstract
We construct a series of bosonic symmetry protected topological (BSPT) states beyond group cohomology classification using "decorated defects" approach. This construction is based on topological defects of ordinary Landau order parameters, decorated with the bosonic short range entangled (BSRE) states in $(4k+3)d$ and $(4k+5)d$ space-time (with $k$ being nonnegative integers), which do not need any symmetry. This approach not only gives these BSPT states an intuitive physical picture, it also allows us to derive the effective field theory for all these BSPT states beyond group cohomology., 7 pages
- Published
- 2015
27. Anyon and loop braiding statistics in field theories with a topologicalΘterm
- Author
-
Yi-Zhuang You, Zhen Bi, and Cenke Xu
- Subjects
Physics ,Sigma model ,Anyon ,Semiclassical physics ,Condensed Matter Physics ,Topology ,01 natural sciences ,Topological quantum computer ,010305 fluids & plasmas ,Electronic, Optical and Magnetic Materials ,Condensed Matter - Strongly Correlated Electrons ,Phase factor ,Nonlinear system ,Formalism (philosophy of mathematics) ,0103 physical sciences ,Statistics ,010306 general physics - Abstract
We demonstrate that the anyon statistics and three-loop statistics of various 2d and 3d topological phases can be derived using semiclassical nonlinear Sigma model field theories with a topological $\Theta$-term. In our formalism, the braiding statistics has a natural geometric meaning: The braiding process of anyons or loops leads to a nontrivial field configuration in the space-time, which will contribute a braiding phase factor due to the $\Theta$-term., Comment: 4 pages, 3 figures
- Published
- 2014
28. Line defects in three-dimensional symmetry-protected topological phases
- Author
-
Zhen Bi, Cenke Xu, and Alex Rasmussen
- Subjects
Physics ,Line defects ,Condensed Matter - Strongly Correlated Electrons ,Theoretical physics ,Strongly Correlated Electrons (cond-mat.str-el) ,0103 physical sciences ,FOS: Physical sciences ,Symmetry (geometry) ,010306 general physics ,Condensed Matter Physics ,01 natural sciences ,010305 fluids & plasmas ,Electronic, Optical and Magnetic Materials - Abstract
A 3d symmetry protected topological phase, by definition must have symmetry protected nontrivial boundary states, namely its 2d boundary must be either gapless or degenerate. In this work we demonstrate that once we couple a 3d SPT phase to a lattice dynamical Z2 gauge field, in many cases the Z2 vison loop excitation (line defect) can be viewed as a "1d boundary" of the 3d SPT phase, and this line defect is guaranteed to have gapless or degenerate spectrum, which is also protected by the symmetry of the SPT phase., Comment: 5 pages, 2 figures
- Published
- 2014
29. Bridging Fermionic and Bosonic Short Range Entangled States
- Author
-
Meng Cheng, Yi-Zhuang You, Alex Rasmussen, Zhen Bi, and Cenke Xu
- Subjects
Physics ,Condensed Matter::Quantum Gases ,Sigma model ,Strongly Correlated Electrons (cond-mat.str-el) ,High Energy Physics::Lattice ,High Energy Physics::Phenomenology ,General Physics and Astronomy ,Semiclassical physics ,FOS: Physical sciences ,Condensed Matter - Strongly Correlated Electrons ,Coupling (physics) ,Theoretical physics ,Range (mathematics) ,Nonlinear system ,Homogeneous space ,Field theory (psychology) ,Gauge theory - Abstract
In this paper we construct bosonic short range entangled (SRE) states in all spatial dimensions by coupling a $Z_2$ gauge field to fermionic SRE states with the same symmetries, and driving the $Z_2$ gauge field to its confined phase. We demonstrate that this approach allows us to construct many examples of bosonic SRE states, and we demonstrate that the previous descriptions of bosonic SRE states such as the semiclassical nonlinear sigma model field theory and the Chern-Simons field theory can all be derived using the fermionic SRE states., Comment: 7 pages
- Published
- 2014
- Full Text
- View/download PDF
30. Wave Function and Strange Correlator of Short Range Entangled states
- Author
-
Yi-Zhuang You, Alex Rasmussen, Kevin Slagle, Zhen Bi, and Cenke Xu
- Subjects
Physics ,Strongly Correlated Electrons (cond-mat.str-el) ,High Energy Physics::Phenomenology ,Hilbert space ,General Physics and Astronomy ,FOS: Physical sciences ,Quantum entanglement ,01 natural sciences ,Power law ,Square lattice ,Omega ,010305 fluids & plasmas ,symbols.namesake ,Condensed Matter - Strongly Correlated Electrons ,Quantum mechanics ,0103 physical sciences ,symbols ,010306 general physics ,Wave function ,Quantum statistical mechanics ,Local operator - Abstract
We demonstrate the following conclusion: If $|\Psi\rangle$ is a $1d$ or $2d$ nontrivial short range entangled state, and $|\Omega \rangle$ is a trivial disordered state defined on the same Hilbert space, then the following quantity (so called strange correlator) $C(r, r^\prime) = \frac{\langle \Omega|\phi(r) \phi(r^\prime) | \Psi\rangle}{\langle \Omega| \Psi\rangle}$ either saturates to a constant or decays as a power-law in the limit $|r - r^\prime| \rightarrow +\infty$, even though both $| \Omega\rangle$ and $| \Psi\rangle$ are quantum disordered states with short-range correlation. $\phi(r)$ is some local operator in the Hilbert space. This result is obtained based on both field theory analysis, and also an explicit computation of $C(r, r^\prime)$ for four different examples: $1d$ Haldane phase of spin-1 chain, $2d$ quantum spin Hall insulator with a strong Rashba spin-orbit coupling, $2d$ spin-2 AKLT state on the square lattice, and the $2d$ bosonic symmetry protected topological phase with $Z_2$ symmetry. This result can be used as a diagnosis for short range entangled states in $1d$ and $2d$. A possible diagnosis for $3d$ short range entangled states is also proposed., Comment: 5 pages, 5 figures
- Published
- 2013
31. π0 DECAY AT CRITICAL TEMPERATURE
- Author
-
Pin-Zhen Bi and Johann Rafelski
- Subjects
Physics ,Quark ,Nuclear and High Energy Physics ,Meson ,Branching fraction ,High Energy Physics::Lattice ,General Physics and Astronomy ,Astronomy and Astrophysics ,Nuclear physics ,Particle decay ,Pion ,Critical point (thermodynamics) ,Quantum electrodynamics ,Mass spectrum ,High Energy Physics::Experiment ,Pion decay constant - Abstract
The influence of temperature on the pion decay constant and the two-photon decay of π0 is considered near the chiral symmetry restoration point. We analyze how the mass and decay width relate to each other and find that the π0 decay width in hot matter is suppressed, provided that the pion mass vanishes at the critical point; it diverges if pion mass remains finite while quark condensate is dissolved at T c .
- Published
- 1992
32. Decay of ▭ in hot matter
- Author
-
Pin Zhen Bi and Johann Rafelski
- Subjects
Physics ,Nuclear physics ,Particle scattering ,Nuclear and High Energy Physics ,Particle physics ,High Energy Physics::Phenomenology ,Nuclear Theory ,Hadron ,High Energy Physics::Experiment ,Elementary particle ,Function (mathematics) ,Quantum field theory ,Nuclear Experiment - Abstract
We investigate how the presence of hadronic matter affects the width and the decay pattern of ▭ as a function of temperature and density and what this means qualitatively for the experiments studying ▭ production in relativistic nuclear collisions. We determine quantitatively in two models how the natural hadronic width of ▭ increases in a hot hadronic gas.
- Published
- 1991
33. Ellipsoidal bag model for heavy quark system
- Author
-
Pin-Zhen Bi
- Subjects
Quark ,Physics ,Particle physics ,Physics and Astronomy (miscellaneous) ,Bar (music) ,Two step ,Field theory (psychology) ,Elementary particle ,Quantum field theory ,Engineering (miscellaneous) ,Ellipsoid - Abstract
The ellipsoidal bag model is used to describe heavy quark systems such asQ\(\bar Q\),Q\(\bar Q\)g andQ2\(\bar Q^2 \). Instead of two step model, these states are described by an uniform picture. The potential derived from the ellipsoidal bag forQ\(\bar Q\) is almost equivalent to the Cornell potential. For aQ2\(\bar Q^2 \) system with large quark pair separation, an improvement of 70 MeV is obtained comparing with the spherical bag.
- Published
- 1991
34. ERRATA: π0 DECAY AT CRITICAL TEMPERATURE
- Author
-
Johann Rafelski and Pin-Zhen Bi
- Subjects
Physics ,Nuclear and High Energy Physics ,Condensed matter physics ,General Physics and Astronomy ,Astronomy and Astrophysics - Published
- 1992
35. NUCLEAR SHELL STRUCTURE AND CLUSTERED QUARK MATTER
- Author
-
Pin-Zhen Bi and Zhu-Pei Shi
- Subjects
Physics ,Nuclear and High Energy Physics ,Particle physics ,SHELL model ,General Physics and Astronomy ,Down quark ,Astronomy and Astrophysics ,Nuclear matter ,Nuclear physics ,Strange matter ,medicine.anatomical_structure ,Quark star ,Up quark ,medicine ,Nucleus - Abstract
We show that some nuclear shell structure effects may appear if the nucleus is viewed as a drop of clustered quark matter.
- Published
- 1989
36. The soliton solutions of the (1+1)-dimensional real ϕ4field at finite temperature
- Author
-
Ru-keng Su, Pin-zhen Bi, and Guang-jiong Ni
- Subjects
Coupling ,Physics ,Field (physics) ,Condensed matter physics ,One-dimensional space ,General Physics and Astronomy ,Statistical and Nonlinear Physics ,Symmetry (physics) ,Square root ,Quantum mechanics ,Coherent states ,Soliton ,Limit (mathematics) ,Mathematical Physics - Abstract
Proposes a method based on the concepts of coherent state and the approach of the real time Green function to investigate the spontaneous breaking of symmetry in a (1+1)-dimensional phi 4 field as well as its restoration at finite temperatures. A critical temperature Tc is found at which the kink-like soliton disappears. In the weak coupling limit, the soliton mass Es mod T=Tc=(1/3 square root 3)Es mod T=0 and the critical temperature Tc=(2/3 square root 3)Es mod T=0.
- Published
- 1983
37. ERRATA: BINDING ENERGY AND DEEP INELASTIC SCATTERING
- Author
-
Pin-Zhen Bi
- Subjects
Physics ,Resonant inelastic X-ray scattering ,Nuclear and High Energy Physics ,Quasielastic scattering ,X-ray Raman scattering ,Binding energy ,Quasielastic neutron scattering ,General Physics and Astronomy ,Astronomy and Astrophysics ,Inelastic scattering ,Atomic physics ,Deep inelastic scattering - Published
- 1988
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