Spin relaxation in Rashba rings

TL;DR

This paper investigates spin relaxation in Rashba rings, revealing how initial spin profiles evolve into persistent configurations influenced by ring geometry, with implications for spintronic device design.

Contribution

It introduces a detailed analysis of spin relaxation dynamics in Rashba rings, including the identification of persistent spin states and the impact of geometry on relaxation rates.

Findings

Spin relaxation leads to persistent spin configurations.

Ring geometry accelerates spin relaxation.

Green function of spin kinetic equation is derived.

Abstract

Spin relaxation dynamics in rings with Rashba spin-orbit coupling is investigated using spin kinetic equation. We find that the spin relaxation in rings occurs toward a persistent spin configuration whose final shape depends on the initial spin polarization profile. As an example, it is shown that a homogeneous parallel to the ring axis spin polarization transforms into a persistent crown-like spin structure. It is demonstrated that the ring geometry introduces a geometrical contribution to the spin relaxation rate speeding up the transient dynamics. Moreover, we identify several persistent spin configurations as well as calculate the Green function of spin kinetic equation.