Translator Disclaimer
2021 Wave-packet propagation in a finite topological insulator and the spectral localizer index
Jonathan Michala, Alexander Pierson, Terry A. Loring, Alexander B. Watson
Involve 14(2): 209-239 (2021). DOI: 10.2140/involve.2021.14.209

Abstract

We consider a model of electrons in a finite topological insulator. We numerically study the propagation of electronic wave-packets localized near edges of the structure in the presence of defects and random disorder. We compare the propagation with computations of the spectral localizer index: a spatially local topological index. We find that without disorder, wave-packets propagate along boundaries between regions of differing spectral localizer index with minimal loss, even in the presence of strong defects. With disorder, wave-packets still propagate along boundaries between regions of differing localizer index, but lose significant mass as they propagate. We also find that with disorder, the localizer gap, a measure of the localizer index “strength”, is generally smaller away from the boundary than without disorder. Based on this result, we conjecture that wave-packets propagating along boundaries between regions of differing spectral localizer index do not lose significant mass whenever the localizer gap is sufficiently large on both sides of the boundary.

Citation

Download Citation

Jonathan Michala. Alexander Pierson. Terry A. Loring. Alexander B. Watson. "Wave-packet propagation in a finite topological insulator and the spectral localizer index." Involve 14 (2) 209 - 239, 2021. https://doi.org/10.2140/involve.2021.14.209

Information

Received: 26 February 2020; Accepted: 16 January 2021; Published: 2021
First available in Project Euclid: 25 June 2021

Digital Object Identifier: 10.2140/involve.2021.14.209

Subjects:
Primary: 81V99

Rights: Copyright © 2021 Mathematical Sciences Publishers

JOURNAL ARTICLE
31 PAGES

This article is only available to subscribers.
It is not available for individual sale.
+ SAVE TO MY LIBRARY

SHARE
Vol.14 • No. 2 • 2021
MSP
Back to Top