Anomalous Hall effect in the coplanar antiferromagnetic coloring-triangular lattice

Abstract

We study the anomalous Hall effect on the antiferromagnetic coloring-triangular lattice with a coplanar magnetic configuration in the presence of a spin-orbit interaction. The effect of the spin-orbit coupling is included at an 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 structure takes place if a finite spin-orbit coupling is present. A quantized Hall conductivity occurs at global band gaps resulting from the topologically nontrivial band structure.