Bound state and persistent currents in the presence of torsion and Rashba spin-orbit coupling

TL;DR

This paper investigates how torsion fields from dislocations affect electron energy spectra and persistent currents on a cylindrical surface with Rashba spin-orbit coupling, revealing significant spectral modifications and dislocation-induced spin currents.

Contribution

It provides an analytical study of the combined effects of torsion and Rashba spin-orbit coupling on bound states and persistent currents in a cylindrical electron system.

Findings

Torsion significantly alters the energy spectrum.

Dislocation induces persistent spin currents.

A correspondence between dislocation-mediated and azimuthal spin currents.

Abstract

We study a model of an electron on a cylindrical surface, which is coupled to the torsion field due to a dislocation along the axis of the cylinder. We discuss the effect of this torsion field on the energy spectrum of the electrons and analytically calculate persistent currents in the presence of Rashba spin-orbit coupling. We also analyze bound state energy spectra in presence of Rashba spin-orbit interaction. Our results show that the presence of the torsional field due to the dislocation significantly modifies the energy spectrum of the system. The dislocation induced persistent spin current in this system is calculated, and we find a correspondence between the dislocation mediated spin current and the azimuthal spin current.