Josephson Effect and Triplet--Singlet Ratio of Non--centrosymmetric Superconductors

Abstract

We calculate the Andreev bound states and the corresponding Josephson current for an asymmetric 2-dimensional Josephson junction by solving Bogoliubov-de-Gennes equations. The junction consists of a non-centrosymmetric superconductor (NCS) separated by a tunneling barrier with a variable height to a conventional s-wave superconductor. In addition to the antisymmetric spin-orbit coupling in the NCS on the one side, this asymmetric junction gives rise to a Rashba spin-orbit coupling at the interface. We explore the rich parameter space and recover various limiting cases such as s-wave/p-wave junction and the asymmetric s-wave junctions. In addition, we report a transition from a 0-junction to a pi/2-junction with increasing triplet-singlet pairing ratio of the NCS, which serves as a novel mechanism to determine the unknown ratio in a variety of NCS's.

8 pages, 6 figures

References in corpus (8)

• Direct coupling between magnetism and superconducting current in Josephson Phi junction
• Surface bound states and spin currents in non-centrosymmetric superconductors
• Andreev bound states and tunneling characteristics of a non-centrosymmetric superconductor
• Gap structure in noncentrosymmetric superconductors
• On the spin susceptibility of noncentrosymmetric superconductors
• Tunnelling between non-centrosymmetric superconductors with significant spin-orbit splitting studied theoretically within a two-band treatment
• Electronic Raman scattering in non-centrosymmetric superconductors
• Josephson Effect between Conventional and Rashba Superconductors

Cited by in corpus (13)

• Theory of time reversal topological superconductivity in double Rashba wires -- symmetries of Cooper pair and Andreev bound states
• Orbital tunable 0-$\pi$ transitions in Josephson junctions with noncentrosymmetric topological superconductors
• Topological superconducting phases and Josephson effect in curved time-reversal-invariant superconductors
• Josephson response of a conventional and a noncentrosymmetric superconductor coupled via a double quantum dot
• Electrically modulated SQUID with single Josephson junction coupled by a time-reversal breaking Weyl semimetal thin film
• Signature of Anomalous Andreev bound states in magnetic Josephson junction of noncentrosymmetric superconductor on a topological insulator
• Josephson diode effect in one-dimensional quantum wires connected to superconductors with mixed singlet-triplet pairing
• Proximity effect of time-reversal symmetry broken non-centrosymmetric superconductors
• Josephson current between two $p$-wave superconducting nanowires in the presence of Rashba spin-orbit interaction and Zeeman magnetic fields
• Phase-controlled spin and charge currents in superconductor-ferromagnet hybrids
• Spin transport and Spin Tunnelling Magneto-Resistance (STMR) of F$|$NCSC$|$F spin valve
• Absence of spin-orbit-coupling-induced effects on lattice dynamics in CePt3Si
• Reconciling $\pi$ phase shift in Josephson junction experiments with even-parity superconductivity in Sr${}_2$RuO${}_4$