Topological Phases in AB-Stacked MoTe${}_2$/WSe${}_2$: ${\mathbb{Z}}_2$ Topological Insulators, Chern Insulators, and Topological Charge Density Waves

Abstract

We present a theory on the quantum phase diagram of AB-stacked MoTe${}_2$/WSe${}_2$ using a self-consistent Hartree-Fock calculation performed in the plane-wave basis, motivated by the observation of topological states in this system. At filling factor $\nu =2$ (two holes per moiré unit cell), Coulomb interaction can stabilize a ${\mathbb{Z}}_2$ topological insulator by opening a charge gap. At $\nu =1$, the interaction induces three classes of competing states, spin density wave states, an in-plane ferromagnetic state, and a valley polarized state, which undergo first-order phase transitions tuned by an out-of-plane displacement field. The valley polarized state becomes a Chern insulator for certain displacement fields. Moreover, we predict a topological charge density wave forming a honeycomb lattice with ferromagnetism at $\nu =2/3$. Future directions on this versatile system hosting a rich set of quantum phases are discussed.

7 pages, 4 figures

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• Quantum Many-Body Physics Calculations with Large Language Models
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• Generic integer and fractional quantum anomalous Hall crystals from interaction-driven band folding
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