Intrinsic High Chern Numbers in Two-Dimensional Materials
Phys. Rev. Lett. 135, 256401 – Published 17 December, 2025
DOI: https://doi.org/10.1103/ktgw-2wx2
Abstract
Despite sharing a common lattice structure, monolayer compounds realize quantum anomalous Hall phases with distinct Chern numbers, a striking phenomenon that has not been fully explored. Combining first-principles calculations with symmetry analysis and tight-binding models, we identify two generic band-inversion mechanisms governed by the orbital composition and symmetry representations of states near the Fermi level. When and orbitals dominate, a doubly degenerate -point inversion yields ; otherwise, inversions occur along and at four -related momenta, whose Berry-curvature contributions add to give , distinct from scenarios relying on multiple band inversions at a single point. The same mechanism consistently explains related two-dimensional systems, including LiFeSe, KTiSb, MgFeP, and Janus derivatives. The mechanism provides practical guidance for screening and engineering tunable high-Chern-number insulators.