Spin-Orbit Coupling and Tunneling Current in a Parabolic Quantum Dot

TL;DR

This paper introduces a method to analyze spin-orbit coupling effects in quantum dots by examining anti-crossing energy levels and tunneling currents under tilted magnetic fields, enabling precise measurement of spin-orbit strength.

Contribution

It presents a novel approach to determine spin-orbit coupling strength in quantum dots through tunneling current analysis and energy level anti-crossings under tilted magnetic fields.

Findings

Anti-crossing gaps depend non-monotonically on magnetic field magnitude.

Tunneling current characteristics reveal spin-orbit coupling strength.

Peak anti-crossing gap occurs at finite magnetic field values.

Abstract

We propose a novel approach to explore the properties of a quantum dot in the presence of the spin-orbit interaction and in a tilted magnetic field. The spin-orbit coupling within the quantum dot manifest itself as anti-crossing of the energy levels when the tilt angle is varied. The anti-crossing gap has a non-monotonic dependence on the magnitude of the magnetic field and exhibits a peak at some finite values of the magnetic field. From the dependence of the tunneling current through the quantum dot on the bias voltage and the tilt angle, the anti-crossing gap and most importantly the spin-orbit strength can be uniquely determined.