Persistent currents in multicomponent Tomonaga-Luttinger liquid: application to mesoscopic semiconductor ring with spin-orbit interaction

TL;DR

This paper investigates persistent currents in semiconductor rings with strong spin-orbit interaction using a multicomponent Tomonaga-Luttinger liquid model, predicting new observable features.

Contribution

It introduces a novel theoretical framework for analyzing persistent currents in rings with spin-orbit coupling, highlighting unique features due to nonparabolic dispersion.

Findings

Prediction of new persistent current features due to spin-orbit interaction

Application of multicomponent Tomonaga-Luttinger liquid model

Guidance for experimental observation of these effects

Abstract

We study persistent currents in semiconductor ballistic rings with spin-orbit Rashba interaction. We use as a working model the multicomponent Tomonaga-Luttinger liquid which arises due to the nonparabolic dispersion relations of electrons in the rings with rather strong spin-orbit coupling. This approach predicts some new characteristic features of persistent currents, which may be observed in experimental studies of semiconductor ballistic rings.