Electrically tuned topology and magnetism in twisted bilayer MoTe${}_2$ at ${\nu }_h=1$

Abstract

We present a theoretical study of an interaction-driven quantum phase diagram of twisted bilayer MoTe${}_2$ 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${}^{\circ }$ 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${}^{\circ }$ 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.

arXiv comment7 pages, 4 figures

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• Moiré Fractional Chern Insulators III: Hartree-Fock Phase Diagram, Magic Angle Regime for Chern Insulator States, the Role of the Moiré Potential and Goldstone Gaps in Rhombohedral Graphene Superlattices
• Halperin States of Particles and Holes in Ideal Time Reversal Invariant Pairs of Chern Bands and The Fractional Quantum Spin Hall Effect in Moiré MoTe${}_2$
• Variational Mapping of Chern Bands to Landau Levels: Application to Fractional Chern Insulators in Twisted MoTe${}_2$
• Twist-angle evolution of the intervalley-coherent antiferromagnet in twisted WSe${}_2$
• Quantum Geometry Probed by Chiral Excitonic Optical Response of Chern Insulators
• Hofstadter spectrum of Chern bands in twisted transition metal dichalcogenides
• Interacting phase diagram of twisted bilayer MoTe${}_2$ in magnetic field
• Topological Chiral Superconductivity Mediated by Intervalley Antiferromagnetic Fluctuations in Twisted Bilayer WSe${}_2$
• Twistronics and moiré superlattice physics in 2D transition metal dichalcogenides
• Artificial moiré engineering for an ideal BHZ model
• Topological magnons and domain walls in twisted bilayer MoTe${}_2$
• Multi-Band Exact Diagonalization and an Iteration Approach to Hunt For Fractional Chern Insulators in Rhombohedral Multilayer Graphene
• Quantum Phases in Twisted Homobilayer Transition Metal Dichalcogenides
• Non-Abelian Chern band in rhombohedral graphene multilayers
• Three-dimensional flat bands and possible interlayer triplet pairing superconductivity in the alternating twisted NbSe${}_2$ moiré bulk