Adiabatic approximation and Aharonov-Casher bands in twisted homobilayer transition metal dichalcogenides
Jingtian Shi, Nicolás Morales-Durán, Eslam Khalaf, A. H. MacDonald
Abstract
In the context of fractional quantum anomalous Hall physics in twisted homobilayer transitional metal dichalcogenides, an emergent magnetic field picture, termed the adiabatic approximation, can be used to explain the emergence of ideal flat bands from the continuum model description. The authors justify here the adiabatic approximation in experimentally relevant parameter regimes and show that the adiabatic approximation is equivalent to an Aharonov-Casher type flat ideal band subject to a periodic potential. Although the potential can significantly modify some properties of the Aharonov-Casher band, its flatness and ideal quantum geometry will be maintained under certain conditions.