Exact unitary transformation for Rashba rings in magnetic and electric fields

TL;DR

This paper derives an exact unitary transformation for single electron states in Rashba rings under magnetic and electric fields, simplifying the analysis of such systems and enabling precise calculations of spin and energy levels.

Contribution

It introduces an exact unitary transformation that maps complex Rashba ring problems to simpler models, facilitating analysis of electron states under external fields.

Findings

Exact solutions for spin and energy levels are obtained.

The transformation simplifies the analysis of single and many-electron problems.

The method provides a new tool for studying mesoscopic Rashba rings.

Abstract

An exact solution for single electron states on mezoscopic rings with the Rashba coupling and in the presence of external magnetic and electric fields is derived by means of a unitary transformation. The transformation maps the model to a bare ring, which gives the possibility of a very simple formulation of single or many electron problems. As an example some exact results for spin and energy levels are presented.