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.

arXiv comment6 pages, 4 figures

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Cited by in corpus (16)

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• Variational Mapping of Chern Bands to Landau Levels: Application to Fractional Chern Insulators in Twisted MoTe${}_2$
• Experimental signature of layer skyrmions and implications for band topology in twisted WSe2 bilayers
• Spinon pairing induced by chiral in-plane exchange and the stabilization of odd-spin Chern number spin liquid in twisted ${\mathrm{MoTe}}_2$
• Quantum Geometry Probed by Chiral Excitonic Optical Response of Chern Insulators
• Interacting phase diagram of twisted bilayer MoTe${}_2$ in magnetic field
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• Three-dimensional flat bands and possible interlayer triplet pairing superconductivity in the alternating twisted NbSe${}_2$ moiré bulk