Effect of Rashba spin-orbit coupling, magnetization and mixing of gap parameter on tunnelling conductance in F$|$NCSC junction of an F$|$S$|$F spin valve

TL;DR

This study investigates how Rashba spin-orbit coupling, magnetization, and gap mixing influence tunneling conductance in a ferromagnet–noncentrosymmetric superconductor junction within an F|S|F spin valve, revealing strong dependencies and optimal conditions.

Contribution

The paper introduces a detailed theoretical model incorporating RSOC, magnetization, and gap mixing effects on tunneling conductance in F|NCSC junctions, extending previous analyses.

Findings

Conductance depends strongly on RSOC, magnetization strength, and orientation.

Increasing singlet-triplet gap mixing ratio decreases conductance.

Optimal conductance occurs with moderate RSOC and magnetization in transparent barriers.

Abstract

In this paper, we study the quantum transport at the Ferromagnet$|$Noncentrosymmetric Superconductor (F$|$NCSC) interface of an F$|$S$|$F spin valve. In this context, we investigate the tunneling conductance and its dependence on Rashba Spin-Orbit Coupling (RSOC) considering different barrier strength and a significant Fermi Wave-vector Mismatch (FWM) at the ferromagnetic and superconducting regions. The study is carried out for different magnetization orientations and its strength. We developed Bogoliubov de Gennes (BdG) Hamiltonian introducing RSOC and exchange interaction for such an hybrid structure. To study charge conductance we use an extended Blonder - Tinkham - Klapwijk (BTK) approach along with scattering matrix formalism to calculate the scattering coefficients. Our results strongly suggest that the tunneling conductance is strongly dependent on RSOC, magnetization strength, its orientation and the FWM. The work has also been done for different singlet-triplet mixing of the gap parameter. We have observed that with the rise of singlet-triplet mixing ratio the conductance decreases. It is also observed that a transparent barrier with moderate RSOC and having moderate magnetization strength with arbitrary orientation is highly suitable for maximum conductance.