Non-commutative tools for topological insulators

DOI10.1088/1367-2630/12/6/065003zbMath1375.81228arXiv0911.2816OpenAlexW3104699673MaRDI QIDQ4594887

Emil Prodan

Publication date: 27 November 2017

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

Full work available at URL: https://arxiv.org/abs/0911.2816

Mathematics Subject Classification ID

Statistical mechanics of semiconductors (82D37) Noncommutative geometry methods in quantum field theory (81T75) Statistical mechanics of metals (82D35) Statistical mechanics of nanostructures and nanoparticles (82D80)

Related Items (4)

Rényi entropies and topological quantum numbers in 2D gapped Dirac materials ⋮ Wave-packet propagation in a finite topological insulator and the spectral localizer index ⋮ Symmetry protected topological charge in symmetry broken phase: spin-Chern, spin-valley-Chern and mirror-Chern numbers ⋮ Existence and computation of generalized Wannier functions for non-periodic systems in two dimensions and higher

Cites Work

• Localization at large disorder and at extreme energies: an elementary derivation
• Quantization of edge currents for continuous magnetic operators
• Triviality of Bloch and Bloch-Dirac bundles
• The edge spectrum of Chern insulators with rough boundaries
• Norm estimates of complex symmetric operators applied to quantum systems
• Topological quantization of ensemble averages
• An edge index for the quantum spin-Hall effect
• The noncommutative geometry of the quantum Hall effect

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