Topological insulators and the Kane–Mele invariant: Obstruction and localization theory

DOI10.1142/S0129055X20500178zbMath1455.81028arXiv1712.02991OpenAlexW2989711725WikidataQ126669047 ScholiaQ126669047MaRDI QIDQ5149196

Richard J. Szabo, Severin Bunk

Publication date: 8 February 2021

Published in: Reviews in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1712.02991

zbMATH Keywords

localizationtime-reversal symmetrytopological phasesKane-Mele invariantequivariant and Jandl gerbes

Mathematics Subject Classification ID

Characteristic classes and numbers in differential topology (57R20) Applications of global differential geometry to the sciences (53C80) Differential geometric methods, including holonomy, Berry and Hannay phases, Aharonov-Bohm effect, etc. in quantum theory (81Q70) Twisted (K)-theory; differential (K)-theory (19L50) Differential geometric aspects of gerbes and differential characters (53C08)

Related Items (4)

't Hooft anomalies of discrete gauge theories and non-abelian group cohomology ⋮ Differential geometric invariants for time-reversal symmetric Bloch bundles. II: The low-dimensional ``quaternionic case ⋮ Gerbes in geometry, field theory, and quantisation ⋮ Eigenvalue crossings in Floquet topological systems

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