2000 character limit reached
High Chern Number Quantum Anomalous Hall States in Haldane-Graphene Multilayers (2505.09227v1)
Published 14 May 2025 in cond-mat.mes-hall and cond-mat.mtrl-sci
Abstract: Quantum anomalous Hall (QAH) systems with high Chern number ($|C|>1$) are rare. This Letter introduces a Haldane-graphene multilayer heterostructure hosting QAH states with arbitrary Chern number. In a rhombohedral-stacked graphene $N$-layer, the Dirac points at $K_{\pm}$ become $N\text{th}$-order zeros of the low-energy effective Hamiltonian. When an extra layer of Haldane model is stacked on top of the multilayer, the high-order Dirac points are gapped out and the heterostructure enters QAH phases with $|C|=N+1$. Therefore, gapping out high-order Dirac points paves a new way to high Chern number QAH states.