Using Josephson junctions to determine the pairing state of superconductors without crystal inversion symmetry

Abstract

Theoretical studies of a planar tunnel junction between two superconductors with antisymmetric spin-orbit coupling are presented. The half-space Green's function for such a superconductor is determined. This is then used to derive expressions for the dissipative current and the Josephson current of the junction. Numerical results are presented in the case of the Rashba spin-orbit coupling, relevant to the much studied compound CePt${}_3$Si. Current-voltage diagrams, differential conductance and the critical Josephson current are presented for different crystallographic orientations and different weights of singlet and triplet components of the pairing state. The main conclusion is that Josephson junctions with different crystallographic orientations may provide a direct connection between unconventional pairing in superconductors of this kind and the absence of inversion symmetry in the crystal.

16 pages, 10 figures

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Cited by in corpus (8)

• Surface density of states and topological edge states in non-centrosymmetric superconductors
• Spin current and spin accumulation near a Josephson junction between a singlet and triplet superconductor
• Proximity effect with noncentrosymmetric superconductors
• Fractional flux quanta at intrinsic metallic interfaces of noncentrosymmetric superconductors
• Josephson Effect in Noncentrosymmetric Superconductor Junctions
• Josephson response of a conventional and a noncentrosymmetric superconductor coupled via a double quantum dot
• Josephson Effect between Conventional and Rashba Superconductors
• Bulk-boundary correspondence in Josephson Junctions