The noncommutative index theorem and the periodic table for disordered topological insulators and superconductors

DOI10.1063/1.5026964zbMath1390.82029arXiv1611.01928OpenAlexW3098269946MaRDI QIDQ4635269

Hosho Katsura, Tohru Koma

Publication date: 16 April 2018

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

Full work available at URL: https://arxiv.org/abs/1611.01928

Mathematics Subject Classification ID

Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44) Statistical mechanics of superconductors (82D55) Statistical mechanics of solids (82D20) Index theory (19K56)

Related Items

A \(\mathbb{Z}_2\)-topological index for quasi-free fermions, Tight-binding reduction and topological equivalence in strong magnetic fields, The KO-valued spectral flow for skew-adjoint Fredholm operators, Rigorous index theory for one-dimensional interacting topological insulators, Index theory and topological phases of aperiodic lattices, Fredholm homotopies for strongly-disordered 2D insulators, On the ℤ2 topological invariant, The bulk-edge correspondence for disordered chiral chains, Compactly supported Wannier functions and strictly local projectors

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