Magneto-transport in a mesoscopic ring with Rashba and Dresselhaus spin-orbit interactions

TL;DR

This paper analytically and numerically investigates electron transport in a mesoscopic ring with Rashba and Dresselhaus spin-orbit interactions, revealing how these interactions influence persistent currents and enabling determination of interaction strengths.

Contribution

It introduces an analytical method within a tight-binding framework to identify spin-split bands and determine Dresselhaus interaction strength in mesoscopic rings.

Findings

Spin-orbit interactions enhance persistent current amplitudes.

Analytical and numerical results are consistent.

Method to determine Dresselhaus interaction strength is proposed.

Abstract

Electronic transport in a one-dimensional mesoscopic ring threaded by a magnetic flux is studied in presence of Rashba and Dresselhaus spin-orbit interactions. A completely analytical technique within a tight-binding formalism unveils the spin-split bands in presence of the spin-orbit interactions and leads to a method of determining the strength of the Dresselhaus interaction. In addition to this, the persistent currents for ordered and disordered rings have been investigated numerically. It is observed that, the presence of the spin-orbit interaction, in general, leads to an enhanced amplitude of the persistent current. Numerical results corroborate the respective analytical findings.