Effect of non-uniform exchange field in ferromagnetic graphene

TL;DR

This paper investigates how a non-uniform exchange field affects spin transport and Hall conductivity in ferromagnetic graphene, incorporating spin orbit coupling and gauge theory to explore novel spintronic phenomena.

Contribution

It introduces a theoretical framework linking non-uniform exchange fields and spin orbit coupling to spin transport properties in ferromagnetic graphene.

Findings

Derived an expression for Hall conductivity in terms of exchange and SOC parameters.

Evaluated Berry curvature for specific exchange configurations.

Discussed the generation of anti-damping spin orbit torque.

Abstract

We have presented here the consequences of the non-uniform exchange field on the spin transport issues in spin chiral configuration of ferromagnetic graphene. Taking resort to the spin orbit coupling (SOC) term and non-uniform exchange coupling term we are successful to express the expression of Hall conductivity in terms of the exchange field and SOC parameters through the Kubo formula approach. However, for a specific configuration of the exchange parameter we have evaluated the Berry curvature of the system. We also have paid attention to the study of SU(2) gauge theory of ferromagnetic graphene. The generation of anti damping spin orbit torque in spin chiral magnetic graphene is also briefly discussed.