Transport of Charge and Spin in the Weak Link between Misoriented $PrOs_4Sb_{12}$ Superconductors

TL;DR

This paper theoretically investigates charge and spin transport in a Josephson junction between misoriented triplet superconductors of PrOs4Sb12, revealing how misorientation affects current-phase relations and potential applications as a spin current polarizer.

Contribution

It provides an analytical solution to the Eilenberger equations for this system and explores the influence of crystal misorientation on current-phase diagrams, aiding in pairing symmetry identification.

Findings

Misorientation significantly alters the spin and charge current-phase relations.

The junction can act as a spin current polarizer.

Current-phase diagrams can serve as tests for pairing symmetry.

Abstract

Recently, the ``$(p+h)-$wave'' form of pairing symmetry has been proposed for the superconductivity in $PrOs_{4}Sb_{12}$ compound [Parker D, Maki K and Haas S, \textbf{cond-mat/0407254}]. In the present paper, a stationary Josephson junction as a weak-link between $PrOs_{4}Sb_{12}$ triplet superconductors is theoretically investigated. The quasiclassical Eilenberger equations are analytically solved. The spin and charge current-phase diagrams are plotted and the effect of misorientation between crystals on the spin current, and spontaneous and Josephson currents is studied. It is found that such experimental investigations of the current-phase diagrams can be used to test the pairing symmetry in the above-mentioned superconductors. It is shown that this apparatus can be applied as a polarizer for the spin current.