Proximity effect of time-reversal symmetry broken noncentrosymmetric superconductors

In noncentrosymmetric superconductors the pair potential has both even-parity singlet and odd-parity triplet components. If time-reversal symmetry is broken, the superconducting phase of these components is not the same, for example in anapole superconductors. In this paper it is shown that breaking time-reversal symmetry by a phase difference between the two components significantly alters both the density of states and the conductance in Formula Presented-wave superconductors. The density of states and conductance in Formula Presented-wave superconductors are less influenced by adding a phase difference because time-reversal symmetry is already broken in the Formula Presented-wave superconductor. The Tanaka-Nazarov boundary conditions are extended to 3D superconductors, allowing us to investigate a greater variety of superconductors, such as Balian-Werthamer superconductors, in which the direction of the Formula Presented vector is parallel to the direction of momentum. The results are important for the determination of pair potentials in potentially time-reversal symmetry broken noncentrosymmetric superconductors.