Interacting phase diagram of twisted bilayer MoTe${}_2$ in magnetic field

Abstract

We study electron-electron interaction induced states of twisted bilayer MoTe${}_2$ in an out-of-plane magnetic field $B\hat{\mathbf{z}}$ near one hole per moiré unit cell filling. The 3D phase diagram showing the evolution of competing phases with $B$, interaction strength and an out-of-plane electric field is presented at electron fillings that follow the Diophantine equation along Chern number $-\text{sign}\left(B\right)$ line, that is pointing away from the charge neutral filling, where we find prominent Chern insulators consistent with the experiments. We also explain the experimental absence of prominent Chern insulators along the Chern number $+\text{sign}\left(B\right)$ line.

6+9 pages, 4+7 figures typo in Fig 2g corrected, a reference added, minor edits

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Cited by in corpus (8)

• Interplay between topology and correlations in the second moiré band of twisted bilayer MoTe2
• Variational Mapping of Chern Bands to Landau Levels: Application to Fractional Chern Insulators in Twisted MoTe${}_2$
• Fractional Chern Insulator and Quantum Anomalous Hall Crystal in Twisted MoTe${}_2$
• Topological magnons and domain walls in twisted bilayer MoTe${}_2$
• Electromagnetic response and emergent topological orders in transition metal dichalcogenide MoTe${}_2$ bilayers
• Orbital Magnetization of Correlated States in Twisted Bilayer Transition Metal Dichalcogenides
• Magnetic Hofstadter cascade in a twisted semiconductor homobilayer
• Orbital magnetization and magnetic susceptibility of interacting electrons