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∘ 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.
@article{arxiv.2109.08570,
title = {Anomalous Hall effect in the coplanar antiferromagnetic coloring-triangular lattice},
author = {A. C. Duran and S. A. Osorio and M. B. Sturla},
journal= {arXiv preprint arXiv:2109.08570},
year = {2022}
}