Evanescent states in quantum wires with Rashba spin-orbit coupling

TL;DR

This paper presents a computational method for calculating evanescent states in quantum wires with Rashba spin-orbit coupling, demonstrating its effectiveness through dispersion relations and a potential step example.

Contribution

It introduces a new algorithm for computing evanescent states in coupled quantum wire systems with Rashba interaction, addressing a complex problem in spintronics.

Findings

Dispersion relations for specific cases are provided.

The algorithm successfully handles coupled longitudinal and transverse motions.

Practical application demonstrated with a potential step in the wire.

Abstract

We discuss the calculation of evanescent states in quasi-one-dimensional quantum wires in the presence of Rashba spin-orbit interaction. We suggest a computational algorithm devised for cases in which longitudinal and transverse motions are coupled. The dispersion relations are given for some selected cases, illustrating the feasibility of the proposed computational method. As a practical application, we discuss the solutions for a wire containing a potential step.