CLIFFORD MODULES AND SYMMETRIES OF TOPOLOGICAL INSULATORS

DOI10.1142/S0219887812500235zbMath1252.15030arXiv1101.1054OpenAlexW2963254508MaRDI QIDQ2911894

Pavel Kalugin, Gilles Abramovici

Publication date: 3 September 2012

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1101.1054

zbMATH Keywords

topological insulatorsClifford modules

Mathematics Subject Classification ID

Clifford algebras, spinors (15A66) Bergman spaces and Fock spaces (30H20)

Related Items (8)

On the \(K\)-theoretic classification of topological phases of matter ⋮ Lyapunov spectra for all ten symmetry classes of quasi-one-dimensional disordered systems of non-interacting fermions ⋮ Twisted equivariant matter ⋮ Rearrangement of energy bands: Chern numbers in the presence of cubic symmetry ⋮ On mathematical aspects of the theory of topological insulators ⋮ Fluctuations of Wigner-type random matrices associated with symmetric spaces of class DIII and CI ⋮ Topology by dissipation ⋮ Bott periodicity for \(\mathbb Z_2\) symmetric ground states of gapped free-fermion systems

Cites Work

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• \(K\)-theory. An introduction. With a new postface by the author and a list of errata
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• Self-adjoint operators and pairs of Hermitian forms over the quaternions
• Clifford modules
• Symmetry classes of disordered fermions
• Symmetries, dimensions and topological insulators: the mechanism behind the face of the Bott clock
• Symmetry, Representations, and Invariants
• The Finite Simple Groups
• The Threefold Way. Algebraic Structure of Symmetry Groups and Ensembles in Quantum Mechanics

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