Classification of topological invariants related to corner states-Reference-Cited by-同舟云学术

Classification of topological invariants related to corner states

Published:2021-09-12 Issue:5 Volume:111 Page:
ISSN:0377-9017
Container-title:Letters in Mathematical Physics
language:en
Short-container-title:Lett Math Phys

Author:

Hayashi Shin^ORCID

Abstract

AbstractWe discuss some bulk-surface gapped Hamiltonians on a lattice with corners and propose a periodic table for topological invariants related to corner states aimed at studies of higher-order topological insulators. Our table is based on four things: (1) the definition of topological invariants, (2) a proof of their relation with corner states, (3) computations of K-groups and (4) a construction of explicit examples.

Funder

Japan Society for the Promotion of Science

Japan Science and Technology Agency

Publisher

Springer Science and Business Media LLC

Subject

Mathematical Physics,Statistical and Nonlinear Physics

Link

https://link.springer.com/content/pdf/10.1007/s11005-021-01460-8.pdf

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