Symmetries, dimensions and topological insulators: the mechanism behind the face of the Bott clock
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Publication:3074678
DOI10.1088/1751-8113/44/4/045001zbMath1209.82049arXiv1005.3213OpenAlexW3103210372MaRDI QIDQ3074678
Abhishek Roy, Ching-Kai Chiu, Michael Stone
Publication date: 10 February 2011
Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1005.3213
Statistical mechanics of superconductors (82D55) Clifford algebras, spinors (15A66) Homology and homotopy of (Bmathrm{O}) and (Bmathrm{U}); Bott periodicity (55R45)
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On the \(K\)-theoretic classification of topological phases of matter ⋮ Index pairings in presence of symmetries with applications to topological insulators ⋮ CLIFFORD MODULES AND SYMMETRIES OF TOPOLOGICAL INSULATORS ⋮ Topological insulators from the perspective of non-commutative geometry and index theory ⋮ Lyapunov spectra for all ten symmetry classes of quasi-one-dimensional disordered systems of non-interacting fermions ⋮ Twisted equivariant matter ⋮ Transgression field theory at the interface of topological insulators ⋮ Topology of time-reversal invariant energy bands with adiabatic structure ⋮ Dimensional reduction and scattering formulation for even topological invariants ⋮ Topology by dissipation ⋮ Symmetry-protected entangling boundary zero modes in crystalline topological insulators ⋮ T-duality and the bulk-boundary correspondence ⋮ A non-commutative framework for topological insulators ⋮ Topological classification of excitations in quadratic bosonic systems ⋮ Bott periodicity for \(\mathbb Z_2\) symmetric ground states of gapped free-fermion systems
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