Almost commuting matrices, localized Wannier functions, and the quantum Hall effect

DOI10.1063/1.3274817zbMath1417.81176arXiv0910.5490OpenAlexW3102808823MaRDI QIDQ3580900

Terry A. Loring, Matthew B. Hastings

Publication date: 13 August 2010

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

Full work available at URL: https://arxiv.org/abs/0910.5490

Mathematics Subject Classification ID

Applications of operator theory in the physical sciences (47N50) Commutativity of matrices (15A27) Applications of selfadjoint operator algebras to physics (46L60) Many-body theory; quantum Hall effect (81V70) Quantum equilibrium statistical mechanics (general) (82B10) Applications of functional analysis in quantum physics (46N50)

Related Items (10)

The index theorem of lattice Wilson-Dirac operators via higher index theory ⋮ Almost commuting unitary matrices related to time reversal ⋮ Localization of generalized Wannier bases implies Chern triviality in non-periodic insulators ⋮ The noncommutative index theorem and the periodic table for disordered topological insulators and superconductors ⋮ Topological insulators and \(C^{*}\)-algebras: theory and numerical practice ⋮ The ℤ2 index of disordered topological insulators with time reversal symmetry ⋮ Wave-packet propagation in a finite topological insulator and the spectral localizer index ⋮ \(K\)-theory and pseudospectra for topological insulators ⋮ On the Bott index of unitary matrices on a finite torus ⋮ Existence and computation of generalized Wannier functions for non-periodic systems in two dimensions and higher

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