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

Valentin Crépel, Liang Fu

2023Physical review. B./Physical review. B151 citationsDOI

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 $\sqrt{3}\ifmmode\times\else\texttimes\fi{}\sqrt{3}$ charge density wave or a fractional Chern insulator.

Topics & Concepts

Condensed matter physicsCoulombCharge density waveTwistFerromagnetismPhysicsChern classMetal–insulator transitionMetalSuperconductivityElectrical resistivity and conductivityMaterials scienceQuantum mechanicsElectronGeometryMathematicsMetallurgyTopological Materials and Phenomena2D Materials and ApplicationsQuantum and electron transport phenomena
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