Tunneling conductance of a mesoscopic ring with spin-orbit coupling and Tomonaga-Luttinger interaction

TL;DR

This paper investigates how spin-orbit coupling, magnetic flux, and electron interactions influence tunneling conductance in a mesoscopic ring, revealing complex dependencies on various physical parameters at low temperatures.

Contribution

It introduces a detailed model combining spin-orbit effects, magnetic flux, and Tomonaga-Luttinger interactions to analyze conductance in mesoscopic rings.

Findings

Conductance peak positions depend on magnetic flux, spin-orbit coupling, gate voltage, and interaction parameters.

Low-temperature conductance features are sensitive to electron-electron interactions and capacitive coupling.

The model predicts specific flux-dependent conductance behaviors in the weak tunneling regime.

Abstract

We study the tunneling current through a mesoscopic two-terminal ring with spin-orbit coupling, which is threaded by a magnetic flux. The electron-electron interaction in the ring is described in terms of a Tomonaga-Luttinger model which also allows us to account for a capacitive coupling between the ring and the gate electrode. In the regime of weak tunneling, we describe how, at temperatures lower than the mean level spacing, the peak positions of the conductance depend on magnetic flux, spin-orbit coupling strength, gate voltage, charging energy, and interaction parameters (charge and spin velocity and stiffness).