Polarization and Weak Topology in Chern Insulators

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 insulat...

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Bibliographic Details
Published in:Physical review letters Vol. 132; no. 11; p. 116602
Main Authors: Vaidya, Sachin, Rechtsman, Mikael C, Benalcazar, Wladimir A
Format: Journal Article
Language:English
Published: United States 15-03-2024
Online Access:Get full text
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Summary: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.
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ISSN:0031-9007
1079-7114
DOI:10.1103/PhysRevLett.132.116602