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Quantum impurity solvers using a slave rotor representation
- Source :
- Physical Review B: Condensed Matter and Materials Physics (1998-2015), Physical Review B: Condensed Matter and Materials Physics (1998-2015), 2002, 66, pp.165111, Physical Review B: Condensed Matter and Materials Physics (1998-2015), American Physical Society, 2002, 66, pp.165111
- Publication Year :
- 2002
- Publisher :
- HAL CCSD, 2002.
-
Abstract
- We introduce a representation of electron operators as a product of a spin-carry ing fermion and of a phase variable dual to the total charge (slave quantum rotor). Based on this representation, a new method is proposed for solving multi-orbital Anderson quantum impurity models at finite interaction strength U. It consists in a set of coupled integral equations for the auxiliary field Green's functions, which can be derived from a controlled saddle-point in the limit of a large number of field components. In contrast to some finite-U extensions of the non-crossing approximation, the new method provides a smooth interpolation between the atomic limit and the weak-coupling limit, and does not display violation of causality at low-frequency. We demonstrate that this impurity solver can be applied in the context of Dynamical Mean-Field Theory, at or close to half-filling. Good agreement with established results on the Mott transition is found, and large values of the orbital degeneracy can be investigated at low computational cost.<br />18 pages, 15 figures
- Subjects :
- Physics
Strongly Correlated Electrons (cond-mat.str-el)
Field (physics)
[PHYS.COND.CM-SCE] Physics [physics]/Condensed Matter [cond-mat]/Strongly Correlated Electrons [cond-mat.str-el]
FOS: Physical sciences
Charge (physics)
02 engineering and technology
021001 nanoscience & nanotechnology
01 natural sciences
Causality (physics)
Condensed Matter - Strongly Correlated Electrons
Quantum mechanics
Saddle point
0103 physical sciences
Strongly correlated material
Limit (mathematics)
[PHYS.COND.CM-SCE]Physics [physics]/Condensed Matter [cond-mat]/Strongly Correlated Electrons [cond-mat.str-el]
010306 general physics
0210 nano-technology
Degeneracy (mathematics)
Quantum
ComputingMilieux_MISCELLANEOUS
Subjects
Details
- Language :
- English
- ISSN :
- 10980121 and 1550235X
- Database :
- OpenAIRE
- Journal :
- Physical Review B: Condensed Matter and Materials Physics (1998-2015), Physical Review B: Condensed Matter and Materials Physics (1998-2015), 2002, 66, pp.165111, Physical Review B: Condensed Matter and Materials Physics (1998-2015), American Physical Society, 2002, 66, pp.165111
- Accession number :
- edsair.doi.dedup.....8de2191c8d9f7cd5069e62b9a6ca8e05