# Spin transport and Spin Tunnelling Magneto-Resistance (STMR) of F$|$NCSC$|$F spin valve

## TL;DR

This study investigates spin transport, tunnelling conductance, and magnetoresistance in a ferromagnet–noncentrosymmetric superconductor–ferromagnet spin valve, revealing how parameters like Rashba spin-orbit coupling and magnetization influence these phenomena.

## Contribution

It introduces a comprehensive analysis of spin transport in F|NCSC|F spin valves, highlighting the effects of RSOC, magnetization, and singlet-triplet mixing on conductance and magnetoresistance.

## Key findings

- Maximum conductance occurs at moderate RSOC with low magnetic field.
- Giant spin tunnelling magneto-resistance observed at large RSOC and low magnetization.
- Spin current depends strongly on magnetization orientation.

## Abstract

In this work, we study the spin transport at the Ferromagnet$|$Noncentrosymmetric Superconductor (F$|$NCSC) junction of a Ferromagnet$|$Noncentrosymmetric Superconductor$|$Ferromagnet (F$|$NCSC$|$F) spin valve. We investigate the Tunnelling Spin-Conductance (TSC), spin current and Spin Tunnelling Magneto-Resistance (STMR), and their dependence on various important parameters like Rashba Spin-Orbit Coupling (RSOC), strength and orientation of magnetization, an external in-plane magnetic field, barrier strength and a significant Fermi Wavevector Mismatch (FWM) at the ferromagnetic and superconducting regions. The study has been carried out for different singlet-triplet mixing of the NCSC gap parameter. We develop Bogoliubov-de Gennes (BdG) Hamiltonian and use the extended Blonder - Tinkham - Klapwijk (BTK) approach along with the scattering matrix formalism to calculate the scattering coefficients. Our results strongly suggest that the TSC is highly dependent on RSOC, magnetization strength and its orientation, and singlet-triplet mixing of the gap parameter. It is observed that NCSC with moderate RSOC shows maximum conductance for a partially opaque barrier in presence of low external magnetic field. For a strongly opaque barrier and a nearly transparent barrier a moderate value and a low value of field respectively are found to be suitable. Moreover, NCSC with large singlet component is appeared to be useful. In addition, for NCSC with large RSOC and low magnetization strength, a giant STMR ($\%$) is observed. We have also seen that the spin current is strongly magnetization orientation dependent. With the increase in bias voltage spin current increases in transverse direction, but the component along the direction of flow is almost independent.