Orbital Chern Insulator at $\nu =-2$ in Twisted MoTe${}_2$

Abstract

In twisted MoTe${}_2$, latest transport measurement has reported observation of quantum anomalous Hall effect at hole filling $\nu =-1$, which undergoes a topological phase transition to a trivial ferromagnet as layer hybridization gets suppressed by interlayer bias $D$. Here we show that this underlies the existence of an orbital Chern insulating state with gate ($D$) switchable sign in an antiferromagtic spin background at hole filling $\nu =-2$. From momentum-space Hartree Fock calculations, we find this state has a topological phase diagram complementary to that of the $\nu =-1$ one: by sweeping $D$ from negative to positive, the Chern number of this $\nu =-2$ state can be switched between $+1$, $0$, and $-1$, accompanied by a sign change of a sizable orbital magnetization. In range of $D$ where this antiferronagnet is the ground state, the orbital magnetization allows magnetic field initialization of the spin antiferromagnetic order and the Chern number.

6 pages, 4 figures

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• Quantum Geometry Probed by Chiral Excitonic Optical Response of Chern Insulators
• Interacting phase diagram of twisted bilayer MoTe${}_2$ in magnetic field
• Intrinsic Dipole Hall effect in twisted MoTe${}_2$: magnetoelectricity and contact-free signatures of topological transitions
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• Artificial moiré engineering for an ideal BHZ model
• Twistronics and moiré superlattice physics in 2D transition metal dichalcogenides
• Orbital Magnetization of Correlated States in Twisted Bilayer Transition Metal Dichalcogenides
• Orbital torques and orbital pumping in two-dimensional rare-earth dichalcogenides
• Valley- and Orbital-Controlled 2D Chern Insulators Without Spin-orbit Interaction
• Three-dimensional flat bands and possible interlayer triplet pairing superconductivity in the alternating twisted NbSe${}_2$ moiré bulk