Good Wannier bases in Hilbert modules associated to topological insulators
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Publication:5136150
DOI10.1063/1.5143493zbMath1452.82024arXiv1904.13051OpenAlexW3101367975MaRDI QIDQ5136150
Matthias Ludewig, Guo Chuan Thiang
Publication date: 25 November 2020
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1904.13051
NLS equations (nonlinear Schrödinger equations) (35Q55) Dynamic lattice systems (kinetic Ising, etc.) and systems on graphs in time-dependent statistical mechanics (82C20) Statistical mechanics of solids (82D20) Statistical mechanics of magnetic materials (82D40)
Related Items (13)
Large-scale geometry obstructs localization ⋮ Tight-binding reduction and topological equivalence in strong magnetic fields ⋮ Topological invariants for interface modes ⋮ Analytic and algebraic properties of dispersion relations (Bloch varieties) and Fermi surfaces. What is known and unknown ⋮ Ultra-generalized Wannier bases: Are they relevant to topological transport? ⋮ On topological obstructions to the existence of non-periodic Wannier bases ⋮ Localization of generalized Wannier bases implies Chern triviality in non-periodic insulators ⋮ Quantization of edge currents along magnetic interfaces: a \(K\)-theory approach ⋮ Twisted crystallographic T-duality via the Baum–Connes isomorphism ⋮ Parseval frames of exponentially localized magnetic Wannier functions ⋮ On spectral flow and Fermi arcs ⋮ Gaplessness of Landau Hamiltonians on hyperbolic half-planes via coarse geometry ⋮ Localised module frames and Wannier bases from groupoid Morita equivalences
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