On mathematical aspects of the theory of topological insulators

DOI10.1007/s10114-023-1677-xMaRDI QIDQ6139286

Unnamed Author, Innocenti Maresin, Armen Glebovich Sergeev

Publication date: 18 January 2024

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

zbMATH Keywords

topological insulatorsBloch theoryKramers degenerationfermionic Fock spacesMaiorana states

Mathematics Subject Classification ID

Statistical mechanics of superconductors (82D55) NLS equations (nonlinear Schrödinger equations) (35Q55) Many-body theory; quantum Hall effect (81V70) Statistical mechanics of solids (82D20) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Clifford algebras, spinors (15A66) Homology and homotopy of (Bmathrm{O}) and (Bmathrm{U}); Bott periodicity (55R45) Fermionic systems in quantum theory (81V74)

Cites Work

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• Topological insulators. Dirac equation in condensed matters
• The odd Chern character in cyclic homology and spectral flow
• Spin geometry of Dirac and noncommutative geometry of Connes
• Index theory for skew-adjoint Fredholm operators
• The index of elliptic operators. IV, V
• Symmetry classes of disordered fermions
• Homotopy groups and torus homotopy groups
• CLIFFORD MODULES AND SYMMETRIES OF TOPOLOGICAL INSULATORS
• Quantal phase factors accompanying adiabatic changes
• Symmetry, Representations, and Invariants
• Periodic table for topological insulators and superconductors
• Applications of noncommutative geometry in function theory and mathematical physics
• Notes on topological insulators

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