# Spin Hall effect emerging from a chiral magnetic lattice without spin-orbit coupling

## TL;DR

This paper proposes a novel intrinsic spin Hall effect mechanism in chiral magnetic lattices that does not require spin-orbit coupling, expanding the understanding and potential design of spin Hall materials.

## Contribution

It introduces an alternative spin Hall effect mechanism based on chiral magnetic structures, independent of spin-orbit coupling and scalar spin chirality.

## Key findings

- Large spin Hall conductivities in Mn3X compounds from ab initio calculations
- Demonstration of SHE without spin-orbit coupling or scalar spin chirality
- Potential for designing spin Hall materials without heavy elements

## Abstract

The spin Hall effect (SHE), which converts a charge current into a transverse spin current, has long been believed to be a phenomenon induced by the spin--orbit coupling. Here, we propose an alternative mechanism to realize the intrinsic SHE through a chiral magnetic structure that breaks the spin rotation symmetry. No spin--orbit coupling is needed even when the scalar spin chirality vanishes, different from the case of the topological Hall effect. In known chiral antiferromagnetic compounds Mn$_3X$ ($X=$ Ga, Ge, and Sn), for example, we indeed obtain large spin Hall conductivities based on \textit{ab initio} calculations. Apart further developing the conceptual understanding of the SHE, our work suggests an alternative strategy to design spin Hall materials without involving heavy elements, which may be advantageous for technological applications.