Effects of the phase coherence on the local density of states in superconducting proximity structures

Abstract

We theoretically study the local density of states in superconducting proximity structure where two superconducting terminals are attached to a side surface of a normal-metal wire. Using the quasiclassical Green's function method, the energy spectrum is obtained for both of spin-singlet $s$-wave and spin-triplet $p$-wave junctions. In both of the cases, the decay length of the proximity effect at the zero temperature is limited by a depairing effect due to inelastic scatterings. In addition to the depairing effect, in $p$-wave junctions, the decay length depends sensitively on the transparency at the junction interfaces, which is a unique property to odd-parity superconductors where the anomalous proximity effect occurs.

11 pages, 9 figures

References in corpus (13)

• Superconducting proximity effect and Majorana fermions at the surface of a topological insulator
• Electrically detected interferometry of Majorana fermions in a topological insulator
• Superconductivity on the border of weak itinerant ferromagnetism in UCoGe
• Theory of the proximity effect in junctions with unconventional superconductors
• Symmetries of Pairing Correlations in Superconductor-Ferromagnet Nanostructures
• Odd-frequency pairing in normal metal/superconductor junctions
• Majorana Fermions and Odd-frequency Cooper Pairs in a Nano Wire
• Anomalous Josephson effect in p-wave dirty junctions
• Conductance Spectroscopy of Spin-triplet Superconductors
• Symmetry Protected Topological Superfluid ${}^3$He-B
• Effects of surface roughness on the paramagnetic response of small unconventional superconductors
• Anomalous Proximity Effect and Theoretical Design for its Realization
• Consistent two-lifetime model for spectral functions of superconductors

Cited by in corpus (7)

• Controllable odd-frequency Cooper pairs in multi-superconductor Josephson junctions
• Theory of proximity effect in $s+p$-wave superconductor junctions
• Effect of disorder on Majorana localization in topological superconductors: a quasiclassical approach
• Anomalous inverse proximity effect in unconventional-superconductor junctions
• Spin conductance in SNN junctions with non-centrosymmetric superconductors
• Anomalous proximity effect under Andreev and Majorana bound states
• Quasiparticle spectrum in mesoscopic superconducting junctions with weak magnetization