Anomalous magnetic response of a quasi-periodic mesoscopic ring in presence of Rashba and Dresselhaus spin-orbit interactions

TL;DR

This paper studies how Rashba and Dresselhaus spin-orbit interactions significantly enhance persistent charge currents in a quasi-periodic Fibonacci mesoscopic ring, providing a scaling relation to estimate current without extensive simulations.

Contribution

It introduces a scaling relation for persistent current in Fibonacci rings with spin-orbit interactions, enabling direct estimation of current for various sizes and flux values.

Findings

Spin-orbit interactions can enhance persistent current by orders of magnitude.

A scaling relation links current to ring size and Fibonacci generation.

The method allows estimation of current without detailed numerical simulations.

Abstract

We investigate the properties of persistent charge current driven by magnetic flux in a quasi-periodic mesoscopic Fibonacci ring with Rashba and Dresselhaus spin-orbit interactions. Within a tight-binding framework we work out individual state currents together with net current based on second-quantized approach. A significant enhancement of current is observed in presence of spin-orbit coupling and sometimes it becomes orders of magnitude higher compared to the spin-orbit interaction free Fibonacci ring. We also establish a scaling relation of persistent current with ring size, associated with the Fibonacci generation, from which one can directly estimate current for any arbitrary flux, even in presence of spin-orbit interaction, without doing numerical simulation. The present analysis indeed gives a unique opportunity of determining persistent current and has not been discussed so far.