Nonuniform Rashba-Dresselhaus spin precession along arbitrary paths

TL;DR

This paper develops an analytical framework for understanding electron spin precession in nonuniform Rashba-Dresselhaus systems along arbitrary paths, accounting for randomness and curvature effects.

Contribution

It introduces a contour-integral method to analytically describe spin vectors in nonuniform Rashba-Dresselhaus systems, including effects of random dopant distributions and curved geometries.

Findings

Derived an analytical formula for spin vectors along arbitrary paths.

Showed how random Rashba fields modify spin precession patterns.

Applied the formalism to curved quantum wires with illustrative examples.

Abstract

Electron spin precession in nonuniform Rashba-Dresselhaus two-dimensional electron systems along arbitrary continuous paths is investigated. We derive an analytical formula to describe the spin vectors (expectation values of the injected spin) in such conditions using a contour-integral method. The obtained formalism is capable of dealing with the nonuniformity of the Rashba spin-orbit field due to the inherent random distribution of the ionized dopants, and can be applied to curved one-dimensional quantum wires. Interesting examples are given, and the modification to the spin precession pattern in a Rashba-Dresselhaus channel when taking the random Rashba field into account is shown.