The Berry phase in ferromagnetic spin systems and anomalous Hall Effect

TL;DR

This paper explores how the topological Berry phase in ferromagnetic spin systems influences the anomalous Hall effect, highlighting the geometric origin of this phenomenon in electron spin dynamics.

Contribution

It introduces the concept that the real space Berry phase from spin rotations contributes intrinsically to the anomalous Hall effect in ferromagnetic materials.

Findings

Berry phase arises from spin rotations in ferromagnetic systems

Berry phase contributes to the anomalous Hall effect

Topological geometry influences electron transport phenomena

Abstract

We have shown that the study of topological aspects of the underlying geometry in a ferromagnetic spin system gives rise to an intrinsic Berry phase. This real space Berry phase arises due to the spin rotations of conducting electrons which can be manifested as a further contribution in anomalous Hall effect.