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Anomalous Hall metal and fractional Chern insulator in twisted transition metal dichalcogenides

Valentin Crépel1,2 and Liang Fu1

  • 1Department of Physics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA
  • 2Center for Computational Quantum Physics, Flatiron Institute, New York, New York 10010, USA

Phys. Rev. B 107, L201109 – Published 10 May, 2023

DOI: https://doi.org/10.1103/PhysRevB.107.L201109

Abstract

We predict robust Ising ferromagnetism driven by Coulomb interaction in the metallic phase of twisted transition metal dichalcogenide homobilayers for a range of small twist angles. Due to the presence of spin-valley locking and a Chern band, the completely spin-polarized state—a half metal—has a spin gap and exhibits the anomalous Hall effect. We also find that near a magic angle where the Chern band is predicted to be exceptionally flat, the anomalous Hall metal at 1/3 filling may become unstable at low temperature and change into a 3×3 charge density wave or a fractional Chern insulator.

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