Algebraic localization of Wannier functions implies Chern triviality in non-periodic insulators

DOI10.1007/s00023-024-01444-zMaRDI QIDQ6584574

Jian-feng Lu, Kevin D. Stubbs

Publication date: 8 August 2024

Published in: Annales Henri Poincaré (Search for Journal in Brave)

Mathematics Subject Classification ID

General theory of linear operators (47Axx) General mathematical topics and methods in quantum theory (81Qxx) Applications of statistical mechanics to specific types of physical systems (82Dxx)

Cites Work

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• Beyond Diophantine Wannier diagrams: gap labelling for Bloch-Landau Hamiltonians
• Optimal decay of Wannier functions in Chern and quantum Hall insulators
• Parseval frames of exponentially localized magnetic Wannier functions
• Existence and computation of generalized Wannier functions for non-periodic systems in two dimensions and higher
• Triviality of Bloch and Bloch-Dirac bundles
• Localization of generalized Wannier bases implies Chern triviality in non-periodic insulators
• The Haldane model and its localization dichotomy

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