Huang, Ze-Min, Sun, Xiao-Qi and Diehl, Sebastian (2022). Topological gauge theory for mixed Dirac stationary states in all dimensions. Phys. Rev. B, 106 (24). COLLEGE PK: AMER PHYSICAL SOC. ISSN 2469-9969

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Abstract

We derive the universal real-time U(1) topological gauge field action for mixed Dirac states of fermions, described by a density matrix weighted by a gapped Dirac operator, in all dimensions. The key prerequisites are charge quantization and charge conservation; in fact, charge quantization is the root of the action's topological properties. The gauge action encodes nonquantized linear responses as expected for mixed states, but also quan-tized nonlinear responses, which are accessible in experiment. Our construction furthermore demonstrates how the physical pictures of anomaly inflow and bulk-boundary correspondence extend to nonequilibrium systems. Finally, we demonstrate the independence of the gauge action of the underlying equilibrium or nonequilibrium nature of dynamics stabilizing the state.

Item Type: Journal Article
Creators:
CreatorsEmailORCIDORCID Put Code
Huang, Ze-MinUNSPECIFIEDUNSPECIFIEDUNSPECIFIED
Sun, Xiao-QiUNSPECIFIEDUNSPECIFIEDUNSPECIFIED
Diehl, SebastianUNSPECIFIEDUNSPECIFIEDUNSPECIFIED
URN: urn:nbn:de:hbz:38-669848
DOI: 10.1103/PhysRevB.106.245204
Journal or Publication Title: Phys. Rev. B
Volume: 106
Number: 24
Date: 2022
Publisher: AMER PHYSICAL SOC
Place of Publication: COLLEGE PK
ISSN: 2469-9969
Language: English
Faculty: Unspecified
Divisions: Unspecified
Subjects: no entry
Uncontrolled Keywords:
KeywordsLanguage
FINITE-TEMPERATURE; QUANTUM; DISSIPATION; ANOMALIESMultiple languages
Materials Science, Multidisciplinary; Physics, Applied; Physics, Condensed MatterMultiple languages
URI: http://kups.ub.uni-koeln.de/id/eprint/66984

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