Microscopic Theory of Non-Reciprocal Dissipative Current in Diffusive SNS Junctions

We develop a microscopic theory of non-reciprocal currents in the dissipative state in diffusive SNS junctions. A new contribution to the non-linear conductance arises from the combination of a Zeeman field and Rashba spin-orbit coupling in the normal metal. Further, this contribution arises due to inelastic scattering and is proportional to the inelastic scattering time τ_in. Therefore it can be much larger than the conventional contribution which is proportional to the elastic scattering time τ_el. We study this new contribution for both high and low transmission coefficient of the boundary.