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The layered phase of anisotropic gauge theories: A model for topological insulators
- Source :
- ICNFP2019: Workshop ``Lattice Field Theories and Condensed Matter Physics'', ICNFP2019: Workshop ``Lattice Field Theories and Condensed Matter Physics'', Aug 2019, Kolymbari, Greece, HAL
- Publication Year :
- 2021
- Publisher :
- World Scientific Pub Co Pte Ltd, 2021.
-
Abstract
- Topological insulators are materials where current does not flow through the bulk, but along the boundaries, only. They are of particular practical importance, since it is considerably more difficult, by ``conventional'' means, to affect their transport properties, than for the case of conventional materials. They are, thus, particularly robust to perturbations. One way to accomplish such changes is by engineering defects. The defects that have been the most studied are domain walls; however flux compactifications can, also, work. We recall the domain wall construction and compare it to the construction from flux compactification. A particular way of engineering the presence of such defects is by introducing anisotropic couplings for the gauge fields. In this case a new phase appears, where matter is confined along layers and local degrees of freedom cannot propagate through the bulk. It is, also, possible to take into account the ``backreaction'' of the dynamics of the gauge fields on the defects and find that a new phase, the layered phase, where, while transport of local degrees of freedom is confined to surfaces, the topological properties can propagate through the bulk, constituting an example of anomaly flow. The anisotropy itself can be understood as emerging from a particular Maxwell--dilaton coupling.<br />Comment: 17 pages, LaTeX, many figures. Uses utphys for the references. Written version of the contribution to the Workshop on Lattice Field Theories and Condensed Matter Physics, part of the International Conference on New Frontiers in Physics, Kolymbari, August 2019. arXiv admin note: text overlap with arXiv:1010.5281 v2: Typos corrected, references added, discussion of layered phase expanded
- Subjects :
- High Energy Physics - Theory
Nuclear and High Energy Physics
[PHYS.COND.CM-SCE] Physics [physics]/Condensed Matter [cond-mat]/Strongly Correlated Electrons [cond-mat.str-el]
Phase (waves)
FOS: Physical sciences
[PHYS.HLAT] Physics [physics]/High Energy Physics - Lattice [hep-lat]
01 natural sciences
Condensed Matter - Strongly Correlated Electrons
High Energy Physics - Lattice
0103 physical sciences
Gauge theory
010306 general physics
Anisotropy
Physics
Strongly Correlated Electrons (cond-mat.str-el)
Condensed matter physics
[PHYS.HLAT]Physics [physics]/High Energy Physics - Lattice [hep-lat]
[PHYS.HTHE]Physics [physics]/High Energy Physics - Theory [hep-th]
010308 nuclear & particles physics
High Energy Physics - Lattice (hep-lat)
Astronomy and Astrophysics
Atomic and Molecular Physics, and Optics
High Energy Physics - Theory (hep-th)
Flow (mathematics)
Topological insulator
[PHYS.HTHE] Physics [physics]/High Energy Physics - Theory [hep-th]
[PHYS.COND.CM-SCE]Physics [physics]/Condensed Matter [cond-mat]/Strongly Correlated Electrons [cond-mat.str-el]
Current (fluid)
Subjects
Details
- ISSN :
- 1793656X and 0217751X
- Volume :
- 36
- Database :
- OpenAIRE
- Journal :
- International Journal of Modern Physics A
- Accession number :
- edsair.doi.dedup.....5d28b1baed14df2b1eb09d9f25730003