Notes on topological insulators

DOI10.1142/S0129055X1630003XzbMath1361.82005arXiv1501.02874OpenAlexW3101714372WikidataQ125918104 ScholiaQ125918104MaRDI QIDQ5298362

Ralph M. Kaufmann, Dan Li, Birgit Wehefritz-Kaufmann

Publication date: 14 December 2016

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

Full work available at URL: https://arxiv.org/abs/1501.02874

zbMATH Keywords

index theorytopological insulatorstopological \(K\)-theory

Mathematics Subject Classification ID

Research exposition (monographs, survey articles) pertaining to statistical mechanics (82-02) Statistical mechanics of superconductors (82D55) Phase transitions (general) in equilibrium statistical mechanics (82B26) Many-body theory; quantum Hall effect (81V70) Statistical mechanics of solids (82D20) Equivariant (K)-theory (19L47) Index theory (19K56) Twisted (K)-theory; differential (K)-theory (19L50)

Related Items (15)

Kinematics and dynamics of quantum walks in terms of systems of imprimitivity ⋮ Notes on topological insulators ⋮ Topological insulators from the perspective of non-commutative geometry and index theory ⋮ Unnamed Item ⋮ Differential topology of semimetals ⋮ Discrete Wigner–Weyl calculus for the finite lattice ⋮ Bulk-edge correspondence and the cobordism invariance of the index ⋮ On mathematical aspects of the theory of topological insulators ⋮ The Maslov index for composite power-law potentials: the case of the first Exton potential ⋮ Local models and global constraints for degeneracies and band crossings ⋮ Precise Wigner-Weyl calculus for lattice models ⋮ Topological insulators and the Kane–Mele invariant: Obstruction and localization theory ⋮ The \(K\)-theoretic bulk-edge correspondence for topological insulators ⋮ T-duality simplifies bulk-boundary correspondence: some higher dimensional cases ⋮ On mathematical problems in the theory of topological insulators

Cites Work

• Unnamed Item
• Unnamed Item
• Bulk and boundary invariants for complex topological insulators. From \(K\)-theory to physics
• Bundle gerbes for Chern-Simons and Wess-Zumino-Witten theories
• Index theory for skew-adjoint Fredholm operators
• Non-commutative odd Chern numbers and topological phases of disordered chiral systems
• Spectral asymmetry and Riemannian geometry. III
• The noncommutative geometry of the quantum Hall effect
• A non-commutative formula for the isotropic magneto-electric response
• Notes on topological insulators
• HANS BETHE'S CONTRIBUTIONS TO SOLID-STATE PHYSICS

This page was built for publication: Notes on topological insulators