Long range crossed Andreev reflections in high Tc superconductors

TL;DR

This paper investigates non-local transport in high-Tc d-wave superconductors, revealing algebraic decay of conductance and orientation-dependent crossed Andreev reflections, suggesting feasible experimental detection methods.

Contribution

It demonstrates that high-Tc superconductors exhibit algebraic decay in non-local conductance and orientation-dependent crossed Andreev processes, differing from conventional superconductors.

Findings

Non-local conductance decays algebraically with distance.

Crossed Andreev reflections are orientation-dependent.

Potential for experimental detection with current technology.

Abstract

We analyze the non-local transport properties of a d-wave superconductor coupled to metallic electrodes at nanoscale distances. We show that the non-local conductance exhibits an algebraical decay with distance rather than the exponential behavior which is found in conventional superconductors. Crossed Andreev processes, associated with electronic entanglement, are favored for certain orientations of the symmetry axes of the superconductor with respect to the leads. These properties would allow its experimental detection using present technologies.