Eur. Phys. J. B (2016) 89: 88
https://doi.org/10.1140/epjb/e2016-60881-4

Regular Article

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

Physics and Applied Mathematics Unit, Indian Statistical Institute, 203 Barrackpore Trunk Road, 700108 Kolkata, India

^a e-mail: santanu.maiti@isical.ac.in

Received: 10 November 2015
Received in final form: 29 January 2016
Published online: 6 April 2016

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.