The Bulk-Edge Correspondence in Three Simple Cases
Mathematical Physics
2019-09-25 v1 Mesoscale and Nanoscale Physics
math.MP
Abstract
We present examples in three symmetry classes of topological insulators in one or two dimensions where the proof of the bulk-edge correspondence is particularly simple. This serves to illustrate the mechanism behind the bulk-edge principle without the overhead of the more general proofs which are available. We also give a new formula for the \mathbb{Z}_{2}-index of our time-reversal invariant systems inspired by Moore and Balents.
Cite
@article{arxiv.1710.10649,
title = {The Bulk-Edge Correspondence in Three Simple Cases},
author = {Jacob Shapiro},
journal= {arXiv preprint arXiv:1710.10649},
year = {2019}
}
Comments
34 pages, 6 figures