A Guide to the Bott Index and Localizer Index
Mathematical Physics
2019-07-30 v1 Mesoscale and Nanoscale Physics
math.MP
Operator Algebras
Abstract
The Bott index is inherently global. The pseudospectal index is inherently local, and so now the preferred name is the localizer index. We look at these on a rather standard model for a Chern insulator, with an emphasis how to program these effectively. We also discuss how to tune the localizer index so it behaves like a global index.
Cite
@article{arxiv.1907.11791,
title = {A Guide to the Bott Index and Localizer Index},
author = {Terry A. Loring},
journal= {arXiv preprint arXiv:1907.11791},
year = {2019}
}
Comments
25 pages, lots of figures