Crossed Andreev reflection in collinear $p$-wave magnet/triplet superconductor junctions

Abstract

Crossed Andreev reflection (CAR) is a fundamental quantum transport phenomenon that holds significant implications for spintronics and superconducting devices. However, its experimental detection and enhancement remain challenging. Recently, magnetic materials exhibiting $p$-wave magnetic ordering, distinct from conventional spin-orbit coupling, referred to as $p$-wave magnets, have attracted considerable interest. In this work, we propose a junction consisting of $p$-wave magnets and a triplet superconductor as a promising platform to enhance CAR. The setup features a triplet superconductor sandwiched between two collinear $p$-wave magnets rotated by $180^\circ$ relative to each other, allowing for precise control over transport processes. We demonstrate that CAR can dominate over electron tunneling (ET) within specific parameter regimes, such as the orientation angle of the $p$-wave magnets and their chemical potential. Enhanced CAR occurs when the constant energy contours of the two spins in the $p$-wave magnets are well-separated. Furthermore, the conductivities display Fabry-P\'erot-type oscillations due to interference effects, with CAR diminishing as the length of the superconductor exceeds the decay length of the wavefunctions. These findings underscore the potential of collinear $p$-wave magnet-superconductor junctions as a robust platform for the experimental investigation and enhancement of CAR.