Two-Dimensional Time-Reversal-Invariant Topological Insulators via Fredholm Theory
Mathematical Physics
2020-08-26 v1 Mesoscale and Nanoscale Physics
math.MP
Abstract
We study spinful non-interacting electrons moving in two-dimensional materials which exhibit a spectral gap about the Fermi energy as well as time-reversal invariance. Using Fredholm theory we revisit the (known) bulk topological invariant, define a new one for the edge, and show their equivalence (the bulk-edge correspondence) via homotopy.
Keywords
Cite
@article{arxiv.1908.00910,
title = {Two-Dimensional Time-Reversal-Invariant Topological Insulators via Fredholm Theory},
author = {Eli Fonseca and Jacob Shapiro and Ahmed Sheta and Angela Wang and Kohtaro Yamakawa},
journal= {arXiv preprint arXiv:1908.00910},
year = {2020}
}
Comments
18 pages