Signatures of odd-frequency pairing in the Josephson junction current noise

Abstract

Odd frequency (odd-ω) electron pair correlations naturally appear at the interface between BCS superconductors and other materials. The detection of odd-ω pairs, which are necessarily nonlocal in time, is still an open problem. The main reason is that they do not contribute to static measurements described by time-local correlation functions. Therefore, dynamical measurements, which depend on non-local time correlations, are suitable for detecting these pairs. In this work, we study the signatures of odd-ω pairs in the supercurrent noise through a weak link between two superconductors at different superconducting phases. We show that the finite frequency current noise can be decomposed into three different contributions coming from even frequency (even-ω), odd-ω pair amplitudes, and electron-hole correlation functions. Odd-ω pairing, which is inter-lead (between electrons at different sides of the junction), provides a positive contribution to the noise, becoming maximal at a superconducting phase difference of π. In contrast, intra-lead even-ω pair amplitude tends to reduce the noise, except for a region close to π, controlled by the transmission of the junction.