Electrically tuned topology and magnetism in twisted bilayer MoTe₂ at _h=1

We present a theoretical study of an interaction -driven quantum phase diagram of twisted bilayer MoTe2 at hole filling factor nu h = 1 as a function of twist angle theta and layer potential difference V-z, where V-z is generated by an applied out -of -plane electric field. At V-z = 0, the phase diagram includes quantum anomalous Hall insulators in the intermediate theta regime and topologically trivial multiferroic states with coexisting ferroelectricity and magnetism in both small and large theta regimes. There can be two transitions from the quantum anomalous Hall insulator phase to topologically trivial out -of -plane ferromagnetic phase, and finally to in -plane 120 antiferromagnetic phase as |V-z| increases, or a single transition without the intervening ferromagnetic phase. We show explicitly that the spin vector chirality of various 120 antiferromagnetic states can be electrically switched. We discuss the connection between the experimentally measured Curie -Weiss temperature and the low -temperature magnetic order based on an effective Heisenberg model with magnetic anisotropy.