Josephson Effect in Singlet Superconductor-Ferromagnet-Triplet Superconductor Junction

TL;DR

This paper investigates the current-phase relation in a ballistic superconductor-ferromagnet-triplet superconductor junction, revealing how magnetization orientation influences the junction's ground state and harmonic content.

Contribution

It introduces a detailed analysis of the current-phase relation in a SIFIT junction with arbitrary magnetization orientations using a generalized quasiclassical formalism.

Findings

The $oldsymbol{ extphi}$-state junction can be realized with noncollinear magnetizations.

Magnetization distribution affects the harmonics of the current-phase relation.

The ground state transition depends on the relative orientation of magnetizations.

Abstract

We study the current-phase relation of a ballistic SIFIT junction, consisting of a spin-singlet superconductor (S), a weak ferromagnetic metal (F), a spin-triplet superconductor (T), and insulating ferromagnetic interfaces (I). We use the generalized quasiclassical formalism developed by A. Millis et al. to compute the current density and the free energy of the junction for arbitrary orientation of the magnetizations of the junction barrier. We investigate in detail the effect of the distribution of magnetization on the various harmonics of the current-phase relation and the transition of the ground state of the junction. The $\phi$-state junction can be realized for a noncollinear orientation of the barrier magnetizations in the plane perpendicular to the d-vector of the triplet superconductor.