Effects of interactions in transport through Aharonov-Bohm-Casher interferometers

TL;DR

This paper investigates how interactions, magnetic flux, and Rashba spin-orbit coupling influence conductance and spin polarization in quantum dot rings modeled by the Hubbard model, highlighting effects like the Kondo phenomenon.

Contribution

It introduces a formalism to analyze interference and Kondo effects in Hubbard model rings with SOC and magnetic flux, revealing their impact on conductance and spin polarization.

Findings

SOC reduces conductance in the Kondo regime

Magnetic flux combined with SOC acts as a spin polarizer

Interference effects are described within the developed formalism

Abstract

We study the conductance through a ring described by the Hubbard model (such as an array of quantum dots), threaded by a magnetic flux and subject to Rashba spin-orbit coupling (SOC). We develop a formalism that is able to describe the interference effects as well as the Kondo effect when the number of electrons in the ring is odd. In the Kondo regime, the SOC reduces the conductance from the unitary limit, and in combination with the magnetic flux, the device acts as a spin polarizer.