Interplay of magnetic field and geometry in magneto-transport of mesoscopic loops with Rashba and Dresselhaus spin-orbit interactions

TL;DR

This paper investigates how magnetic fields and geometry influence electron transport in mesoscopic loops with Rashba and Dresselhaus spin-orbit interactions, providing exact analytical and numerical results.

Contribution

It offers a precise method to estimate one spin-orbit field by observing transmission features when the other is known, considering geometric effects.

Findings

One spin-orbit field can be estimated from transmission resonances.

Transport properties are highly sensitive to the interferometer's geometry.

Exact analytical and numerical formulations are provided for different loop shapes.

Abstract

Electronic transport in closed loop structures is addressed within a tight-binding formalism and in the presence of both the Rashba and Dresselhaus spin-orbit interactions. It has been shown that any one of the spin-orbit fields can be estimated precisely if the other one is known, by observing either the transmission resonance or anti-resonance of unpolarized electrons. The result is obtained through an exact analytic calculation for a simple square loop, and through a numerically exact formulation for a circular ring. The sensitivity of the transport properties on the geometry of the interferometer is discussed in details.