Stability of Anomalous Hall Crystals in multilayer rhombohedral graphene
arxiv(2024)
摘要
Recent experiments showing an integer quantum anomalous Hall effect in
pentalayer rhombohedral graphene have been interpreted in terms of a
valley-polarized interaction-induced Chern band. The resulting many-body state
can be viewed as an Anomalous Hall Crystal (AHC), with a further coupling to a
weak moiré potential. We explain the origin of the Chern band and the
corresponding AHC in the pentalayer system. We propose a simplified model that
focuses on the physics near high symmetry Brillouin zone points to describe the
competition between AHC and Wigner Crystal (WC) phases. We discuss the possible
role of the moiré potential. We emphasize that even if in the moiré-less
limit, the AHC is not favored over a correlated Fermi liquid, the moiré
potential will push the system into a `moiré-enabled AHC'. We also suggest
that there is a range of alignment angles between R5G and hBN where a C = 2
insulator may be found at integer filling.
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