Contribution of weak localization to non local transport at normal metal / superconductor double interfaces

TL;DR

This paper investigates how weak localization influences non-local transport in NISIN trilayers, revealing that weak localization can significantly affect the crossed resistance, especially under certain conditions.

Contribution

It provides a theoretical analysis of weak localization effects on non-local transport in NISIN structures, extending understanding of phase coherence impacts.

Findings

Weak localization can dominate the crossed resistance.

Negative weak localization contribution can surpass elastic cotunneling.

Effect depends on phase coherence length and energy.

Abstract

In connection with a recent experiment [Russo {\it et al.}, Phys. Rev. Lett. {\bf 95}, 027002 (2005)], we investigate the effect of weak localization on non local transport in normal metal / insulator / superconductor / insulator / normal metal (NISIN) trilayers, with extended interfaces. The negative weak localization contribution to the crossed resistance can exceed in absolute value the positive elastic cotunneling contribution if the normal metal phase coherence length or the energy are large enough.