Persistent Currents in Mesoscopic Hubbard Rings with Spin-Orbit Interaction

TL;DR

This paper investigates how spin-orbit interaction influences persistent currents and orbital magnetism in mesoscopic Hubbard rings, using an exact non-perturbative approach combined with Bethe ansatz to reveal new effects.

Contribution

It introduces an exact method combining non-perturbative spin-orbit treatment with Bethe ansatz to analyze persistent currents in Hubbard rings.

Findings

Spin-orbit interaction significantly affects persistent currents.

Electron-electron interactions interplay with spin-orbit effects.

New phenomena in orbital magnetism are identified.

Abstract

The effect of spin-orbit interaction on persistent currents in mesoscopic Hubbard rings threaded by an Aharonov-Bohm flux is investigated putting stress on the orbital magnetism. The non-perturbative treatment of the spin-orbit interaction developed by Meir {\em et al.} is combined with the Bethe ansatz solution to deal with this problem exactly. We find that the interplay of spin-orbit interaction and electron-electron interaction plays a crucial role, bringing about some new effects on the orbital magnetism.