Classification of topological invariants related to corner states
Mathematical Physics
2021-09-29 v1 Mesoscale and Nanoscale Physics
K-Theory and Homology
math.MP
Abstract
We discuss some bulk-surfaces 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.
Keywords
Cite
@article{arxiv.2102.12231,
title = {Classification of topological invariants related to corner states},
author = {Shin Hayashi},
journal= {arXiv preprint arXiv:2102.12231},
year = {2021}
}
Comments
46 pages, 1 figure