Intrinsic Anomalous Hall Effect in Magneto-Chiral States

Abstract

We show that a finite Hall effect in zero applied magnetic field occurs for partially filled bands in certain time-reversal violating states with zero net flux per unit-cell. These states are the Magneto-chiral states with parameters in the effective one-particle Hamiltonian such that they do not satisfy the Haldane-type constraints for topological electronic states. The results extend an earlier discussion of the Kerr effect observed in the cuprates but may be applicable to other experimental situations.

published version

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Cited by in corpus (4)

• Anomalous mirror symmetry breaking in a model insulating cuprate Sr${}_2$CuO${}_2$Cl${}_2$
• Tilted loop currents in cuprate superconductors
• Orbital currents in insulating and doped antiferromagnets
• Implications of second harmonic generation for hidden order in Sr${}_2$CuO${}_2$Cl${}_2$