Beyond Diophantine Wannier diagrams: gap labelling for Bloch-Landau Hamiltonians

DOI10.4171/JEMS/1079zbMath1483.81072arXiv1810.05623WikidataQ114021490 ScholiaQ114021490MaRDI QIDQ824412

Massimo Moscolari, Domenico Monaco, Horia D. Cornean

Publication date: 15 December 2021

Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1810.05623

zbMATH Keywords

magnetic perturbation theoryBloch-Landau HamiltonianChern markergap labelling theoremStředa formula

Mathematics Subject Classification ID

Electromagnetic interaction; quantum electrodynamics (81V10) Feynman integrals and graphs; applications of algebraic topology and algebraic geometry (81Q30) Differential geometric methods, including holonomy, Berry and Hannay phases, Aharonov-Bohm effect, etc. in quantum theory (81Q70) Statistical thermodynamics (82B30) Quantum state spaces, operational and probabilistic concepts (81P16)

Related Items (3)

Bulk–edge correspondence for unbounded Dirac–Landau operators ⋮ Localization of generalized Wannier bases implies Chern triviality in non-periodic insulators ⋮ Parseval frames of exponentially localized magnetic Wannier functions

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