Topological edge states of 1D chains and index theory

DOI10.1063/5.0150870zbMath1516.81120arXiv2303.09505OpenAlexW4379014472MaRDI QIDQ6110648

Guo Chuan Thiang

Publication date: 6 July 2023

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

Full work available at URL: https://arxiv.org/abs/2303.09505

Mathematics Subject Classification ID

Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) (Semi-) Fredholm operators; index theories (47A53) Operator algebra methods applied to problems in quantum theory (81R15)

Cites Work

• Unnamed Item
• Unnamed Item
• Bulk and boundary invariants for complex topological insulators. From \(K\)-theory to physics
• Perturbation theory for linear operators.
• An elementary rigorous proof of bulk-boundary correspondence in the generalized Su-Schrieffer-Heeger model
• On the periodicity theorem for complex vector bundles
• Weyl's theorem for nonnormal operators
• Topology in shallow-water waves: a violation of bulk-edge correspondence
• Topology in shallow-water waves: a spectral flow perspective
• Cobordism invariance of topological edge-following states
• Topological phases: Isomorphism, homotopy and K-theory
• Spectral Properties of Banded Toeplitz Matrices

This page was built for publication: Topological edge states of 1D chains and index theory