Anomalous Hall effect in the coplanar antiferromagnetic coloring-triangular lattice

TL;DR

This paper investigates the anomalous Hall effect in a coplanar antiferromagnetic triangular lattice, revealing finite and quantized Hall conductivities induced by spin-orbit coupling and topologically non-trivial band structures.

Contribution

It demonstrates the emergence of finite and quantized anomalous Hall conductivity in a coplanar antiferromagnetic lattice due to spin-orbit interaction and topological band properties.

Findings

Finite Hall conductivity in the 120° structure with spin-orbit coupling.

Quantized Hall conductivity at topologically non-trivial band gaps.

Spin-orbit interaction induces a topological phase transition.

Abstract

We study the anomalous Hall effect on the antiferromagnetic coloring-triangular lattice with a coplanar magnetic configuration in presence of a spin-orbit interaction. The effect of the spin-orbit coupling is included at effective level as a rotation of the electronic spin as the electrons hop from site to site. Our result reveals that a finite Hall conductivity in the planar 120$^{\circ}$ structure takes place if a finite spin-orbit coupling is present. A quantized Hall conductivity occurs at global band gaps resulting from the topologically non-trivial band structure.