Theory of fractional quantum anomalous Hall phases in pentalayer rhombohedral graphene moir\'e structures
arXiv (Cornell University)(2023)
摘要
Remarkable recent experiments on the moir\'e structure formed by pentalayer rhombohedral graphene aligned with a hexagonal Boron-Nitride substrate report the discovery of a zero field fractional quantum hall effect. These ``Fractional Quantum Anomalous Hall'' (FQAH) phases occur for one sign of a perpendicular displacement field, and correspond, experimentally, to full or partial filling of a valley polarized Chern-$1$ band. Here we present microscopic theoretical calculations demonstrating the emergence of a Chern-$1$ band and the FQAH phases in this system. We also study the four and six-layer analogs and identify parameters where a nearly flat isolated Chern-$1$ band emerges which may be suitable to host FQAH physics.
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关键词
anomalous hall phases,graphene,fractional quantum,pentalayer
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