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

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.Comment: 10 pages, 16 figures (Accepted for Publication in: The European Physical Journal B-Condensed Matter and Complex Systems

Simultaneous spin-based Boolean logic operations with re-programmable functionality

Construction of parallel logic gates at nano-scale level undoubtedly improves the efficiency of computable operations. In this work we put forward a new idea of designing two distinct logical operations {\em simultaneously} in the two output leads of a three-terminal bridge setup which on one hand is highly stable as all the results are valid for a wide range of parameter values and on the other hand easy to engineer. Our system can be reprogrammed to have all the two-input logic gates with two operations at a time by selectively choosing the physical parameters describing the system, viz, Rashba spin-orbit (SO) interaction, magnetic flux, and Fermi energy. Finally, we explore the possible storage mechanism as well using our model.Comment: 6 pages, 5 figures (Accepted for Publication in Europhysics Letters