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.

25 pages, lots of figures

References in corpus (2)

• Finite volume calculation of $K$-theory invariants
• Time-dependent topological systems: A study of the Bott index

Cited by in corpus (2)

• Wave-packet propagation in a finite topological insulator and the spectral localizer index
• Acoustic topological Anderson insulators