Transmission of a single electron through a Berry's ring

TL;DR

This paper presents a theoretical model for electron transmission through a mesoscopic ring with a rotating magnetic moment, highlighting the effects of Berry's phase and quantum interference on spin-dependent transport.

Contribution

It introduces a novel model linking spin transport in a magnetic ring to emergent spin-orbit interaction and Berry's phase effects, with exact solutions for transmission spectra.

Findings

Berry's phase significantly alters transmission spectra.

Spin-flip transmission and reflection are forbidden in the double-path model.

Quantum interference causes dramatic changes in electron transmission.

Abstract

A theoretical model of transmission and reflection of an electron with spin is proposed for a mesoscopic ring with rotating localized magnetic moment. This model may be realized in a pair of domain walls connecting two ferromagnetic domains with opposite magnetization. If the localized magnetic moment and the traveling spin is ferromagnetically coupled and if the localized moment rotates with opposite chirality in the double-path, our system is formulated in the model of an emergent spin-orbit interaction in a ring. The scattering problem for the transmission spectrum of the traveling spin is solved both in a single path and a double path model. In the double path, the quantum-path interference changes dramatically the transmission spectrum due to the effect of the Berry's phase. Specifically, the spin-flip transmission and reflection are both strictly forbidden.