Efficient Prediction of Superlattice and Anomalous Miniband Topology from Quantum Geometry

Efficient Prediction of Superlattice and Anomalous Miniband Topology from Quantum Geometry

Blog Article

Two-dimensional materials subject to long-wavelength modulations have emerged as novel platforms to study topological and correlated quantum phases.In this article, we develop a versatile and computationally inexpensive method to predict the topological properties Skid Shoes of materials subjected to a superlattice potential by combining degenerate perturbation theory with the method of symmetry indicators.In the absence of electronic interactions, our analysis provides a systematic rule to find the Chern number of the superlattice-induced miniband starting from the harmonics of the applied potential and a few material-specific coefficients.

Our method also applies to anomalous (interaction-generated) bands, for which we derive an efficient algorithm to determine all Chern numbers compatible with a self-consistent solution to the Hartree-Fock equations.Our approach gives a microscopic understanding of the quantum anomalous Hall insulators recently observed Pentair Triton C-3 Parts in rhombohedral graphene multilayers.