A Guide to the Bott Index and Localizer Index
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.
- Publication:
-
arXiv e-prints
- Pub Date:
- July 2019
- DOI:
- 10.48550/arXiv.1907.11791
- arXiv:
- arXiv:1907.11791
- Bibcode:
- 2019arXiv190711791L
- Keywords:
-
- Mathematical Physics;
- Condensed Matter - Mesoscale and Nanoscale Physics;
- Mathematics - Operator Algebras
- E-Print:
- 25 pages, lots of figures