Effects of spin orbit coupling in superconducting proximity devices -- application to $mathrm{CoSi_2 / TiSi_2}$ heterostructures

Motivated by the recent findings of unconventional superconductivity in $mathrm{CoSi_2 / TiSi_2}$ heterostructures, we study the effect of interface induced Rashba spin orbit coupling on the conductance of a three terminal T shape superconducting device. We calculate the differential conductance for this device within the quasi-classical formalism that includes the mixing of triplet-singlet pairing due to the Rashba spin orbit coupling. We discuss our result in the light of the conductance spectra reported by Chiu {it et al.} for $mathrm{CoSi_2 / TiSi_2}$ heterostructures.