Influence of Rashba and Dresselhaus spin-orbit interactions of equal strengths on electron states in a circular quantum ring in the presence of a magnetic field

TL;DR

This paper analyzes how equal-strength Rashba and Dresselhaus spin-orbit interactions affect electron energy levels in a circular quantum ring under a magnetic field, using solutions of the Schrödinger equation with realistic confinement.

Contribution

It provides a detailed theoretical analysis of electron states in a quantum ring considering both spin-orbit interactions of equal strength and an external magnetic field.

Findings

Energy levels depend on magnetic field strength

Spin-orbit interactions influence electron confinement

Relative ring width affects energy spectrum

Abstract

Solutions of the Schr\"odinger equation are obtained for an electron in a two-dimensional circular semiconductor quantum ring in the presence of both external uniform constant magnetic field and the Rashba and Dresselhaus spin-orbit interactions of equal strengths. Confinement is simulated by a realistic potential well of a finite depth. The dependence of the energy levels on a magnetic field strength, strength of spin-orbit interaction and a relative ring width is presented.