TY - JOUR
T1 - Polarization and Weak Topology in Chern Insulators
AU - Vaidya, Sachin
AU - Rechtsman, Mikael C.
AU - Benalcazar, Wladimir A.
N1 - Publisher Copyright:
© 2024 American Physical Society.
PY - 2024/3/15
Y1 - 2024/3/15
N2 - 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.
AB - 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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U2 - 10.1103/PhysRevLett.132.116602
DO - 10.1103/PhysRevLett.132.116602
M3 - Article
C2 - 38563931
AN - SCOPUS:85187954736
SN - 0031-9007
VL - 132
JO - Physical review letters
JF - Physical review letters
IS - 11
M1 - 116602
ER -