Polarization and Weak Topology in Chern Insulators

Sachin Vaidya, Mikael C. Rechtsman, Wladimir A. Benalcazar

Research output: Contribution to journalArticlepeer-review

2 Scopus citations

Abstract

Chern insulators, and more broadly, topological insulators, present an obstruction to the construction of exponentially localized electronic Wannier functions. This implies a fundamental difficulty in determining whether such insulators exhibit electric polarization. Here, we show that these insulators can indeed exhibit bound charges and adiabatic currents consistent with changes in bulk polarization over space and time, respectively. We also show that the change in polarization across crystalline domains within these strong topological insulators is quantized in the presence of crystalline symmetries.

Original languageEnglish (US)
Article number116602
JournalPhysical review letters
Volume132
Issue number11
DOIs
StatePublished - Mar 15 2024

All Science Journal Classification (ASJC) codes

  • General Physics and Astronomy

Cite this