Stroboscopic model of transport through a quantum dot with spin-orbit scattering

TL;DR

This paper introduces a stroboscopic model for electron transport in quantum dots with spin-orbit interactions, successfully reproducing universal conductance phenomena and transitions predicted by random-matrix theory.

Contribution

It develops an open symplectic kicked rotator model that captures spin-orbit effects in quantum dot conductance, bridging theory and numerical simulation.

Findings

Model reproduces weak localization and anti-localization peaks

Transition from weak localization to anti-localization with increasing spin-orbit strength

Results agree with predictions from random-matrix theory

Abstract

We present an open version of the symplectic kicked rotator as a stroboscopic model of electrical conduction through an open ballistic quantum dot with spin-orbit scattering. We demonstrate numerically and analytically that the model reproduces the universal weak localization and weak anti-localization peak in the magnetoconductance, as predicted by random-matrix theory (RMT). We also study the transition from weak localization to weak anti-localization with increasing strength of the spin-orbit scattering, and find agreement with RMT.