Quantum anomalous Hall effect from inverted charge transfer gap

TL;DR

This paper proposes a universal mechanism for topological phases in strongly correlated systems via charge transfer gap inversion, leading to quantum anomalous Hall states driven by interactions and magnetic order changes.

Contribution

It introduces a new theoretical framework for realizing quantum anomalous Hall effects in correlated insulators through charge transfer gap inversion.

Findings

Inverted charge transfer gap induces QAH state with non-coplanar magnetism.

Interactions are crucial for gap formation and magnetic order change.

Explains electric field induced transition in TMD bilayers.

Abstract

A general mechanism is presented by which topological physics arises in strongly correlated systems without flat bands. Starting from a charge transfer insulator, topology emerges when the charge transfer energy between the cation and anion is reduced to invert the lower Hubbard band and the spin-degenerate charge transfer band. A universal low-energy theory is developed for the inversion of charge transfer gap in a quantum antiferromagnet. The inverted state is found to be a quantum anomalous Hall (QAH) insulator with non-coplanar magnetism. Interactions play two essential roles in this mechanism: producing the insulating gap and quasiparticle bands prior to the band inversion, and causing the change of magnetic order necessary for the QAH effect after inversion. Our theory explains the electric field induced transition from correlated insulator to QAH state in AB-stacked TMD bilayer MoTe$_2$/WSe$_2$.