Intrinsic Anomalous Hall Effect in Magneto-Chiral States

TL;DR

This paper demonstrates the existence of a finite Hall effect without magnetic field in specific time-reversal violating states with zero net flux, expanding understanding of topological states and their experimental signatures.

Contribution

It introduces magneto-chiral states that produce a Hall effect without net flux, not satisfying Haldane constraints, and connects this to Kerr effect observations in cuprates.

Findings

Finite Hall effect in zero magnetic field for certain states

Magneto-chiral states violate Haldane constraints

Potential explanation for Kerr effect in cuprates

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.