2015/10/31 by Moumita Patra, Santanu K. Maiti · 19 citations
Mathematics · Physics and Astronomy · #Condensed matter physics #Current (fluid) #Fibonacci number #Geometry #Magnetic field #Magnetic flux #Magnetic properties of thin films #Mathematics #Mesoscopic physics #Orbit (dynamics) #Persistent current #Physics #Quantum and electron transport phenomena #Quantum mechanics #Scaling #Spin (aerodynamics) #Spin–orbit interaction #Superconductivity #Topological Materials and Phenomena #cond-mat.mes-hall
paper · pdf · doi:10.1140/epjb/e2016-60881-4
published in The European Physical Journal B 89(4) (Springer Science+Business Media) · 10 pages, 16 figures (Accepted for Publication in: The European Physical Journal B-Condensed Matter and Complex Systems)
arxiv created 2016/02/16 · openalex publication_date 2016/04/01 · arxiv updated 2016/04/11 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
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.