# Anomalous Hall Effect and Spontaneous Orbital Magnetization in Antiferromagnetic Weyl Metal

## TL;DR

This paper investigates the anomalous Hall effect and orbital magnetization in chiral antiferromagnets using a tight-binding model, revealing an orbital ferromagnetic ground state with easy-plane anisotropy and linking Weyl point configurations to orbital magnetization.

## Contribution

It introduces a simple tight-binding model for chiral antiferromagnets demonstrating orbital ferromagnetism and analyzes the relationship between Weyl points and orbital magnetization.

## Key findings

- Ground state is an orbital ferromagnet with easy-plane anisotropy.
- Orbital magnetization is related to Weyl point configurations.
- Model captures key features of anomalous Hall effect in antiferromagnetic Weyl metals.

## Abstract

We study the anomalous Hall effect and orbital magnetization in chiral antiferromagnets, constructing a simple tight-binding model on a stacked Kagome lattice structure with spin-orbit coupling and the exchange interaction between the localized spins and itinerant electrons. It is shown that the ground state is an orbital ferromagnet with the easy-plane anisotropy. The relation between the orbital magnetization and the configuration of the Weyl points are discussed.