Spin-dependent magnetotransport through a ring in the presence of spin-orbit interaction

TL;DR

This paper provides an exact solution for electron spin-dependent transport in mesoscopic rings with spin-orbit interactions and magnetic fields, analyzing how these factors influence transmission properties.

Contribution

It offers a comprehensive analysis of the interplay between Rashba and Dresselhaus spin-orbit interactions and magnetic fields on electron transport in mesoscopic rings, including series configurations.

Findings

Rashba and Dresselhaus SOI affect transmission differently.

Magnetic field influence is negligible for B ≤ 1 T due to Zeeman effects.

Transmission varies with SOI strengths and field orientations.

Abstract

The Schr\"{o}dinger equation for an electron in a mesoscopic ring, in the presence of the Rashba and linear Dresselhaus terms of the spin-orbit interaction (SOI) and of a magnetic field $B$, is solved exactly. The effective electric fields of these terms as well as $B$ have perpendicular and radial components. The interplay between them and $B$ and their influence on the spectrum is studied. The transmission through such a ring, with two leads connected to it, is evaluated as a function of the SOI strengths and of the orientations of these fields. The Rashba and Dresselhaus terms affect the transmission in different ways. The transmission through a series of rings with different radii and with SOI in both arms of the rings or only in one of them is also evaluated. For weak magnetic fields $B\leq 1$ T the influence of the Zeeman term on the transmission, assessed by perturbation theory, is negligible.