We investigate the fractional quantum anomalous Hall (FQAH) effect in rhombohedral multilayer graphene (RnG) in the presence of a strong applied displacement field. We first introduce the interacting model of RnG, which includes the noninteracting continuum model and the many-body Coulomb interaction. We then discuss the integer quantum anomalous Hall (IQAH) effect in RnG and the role of the Hartree-Fock approach in understanding its appearance. Next, we explore the FQAH effect in RnG for n=3--6 using a combination of constrained Hartree-Fock and exact diagonalization methods. We characterize the stability of the FQAH phase by the size of the FQAH gap and find that RnG generally has a stable FQAH phase, although the required displacement field varies significantly among different n values. Our work establishes the theoretical universality of both IQAH and FQAH in RnG.
@article{arxiv.2408.05139,
title = {Fractional quantum anomalous Hall effect in rhombohedral multilayer graphene with a strong displacement field},
author = {Ke Huang and Sankar Das Sarma and Xiao Li},
journal= {arXiv preprint arXiv:2408.05139},
year = {2025}
}