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.

arXiv comment11 pages, 9 figures

References in corpus (54)

• Topological insulators and superconductors
• Superconducting proximity effect and Majorana fermions at the surface of a topological insulator
• Paired states of fermions in two dimensions with breaking of parity and time-reversal symmetries, and the fractional quantum Hall effect
• Non-abelian statistics of half-quantum vortices in p-wave superconductors
• Topological superconductors: a review
• Realizing Majorana zero modes in superconductor-semiconductor heterostructures
• Electrically detected interferometry of Majorana fermions in a topological insulator
• Superconductivity on the border of weak itinerant ferromagnetism in UCoGe
• Probing Neutral Majorana Fermion Edge Modes with Charge Transport
• Symmetry and Topology in Superconductors - Odd-frequency pairing and edge states -
• Manipulation of Majorana fermion, Andreev reflection and Josephson current on topological insulators
• Majorana Fermions and Topology in Superconductors
• Ballistic Majorana nanowire devices
• Two-dimensional epitaxial superconductor-semiconductor heterostructures: A platform for topological superconducting networks
• Theory of the proximity effect in junctions with unconventional superconductors
• Novel Circuit Theory of Andreev Reflection
• Epitaxy of Advanced Nanowire Quantum Devices
• Experimental Phase Diagram of a One-Dimensional Topological Superconductor
• Symmetries of Pairing Correlations in Superconductor-Ferromagnet Nanostructures
• Odd-frequency pairing in normal metal/superconductor junctions
• Robustness of Majorana fermions in 2D topological superconductors
• Josephson Effect due to Odd-frequency Pairs in Diffusive Half Metals
• Anomalous charge transport in mesoscopic triplet superconductor junctions
• Edge states of Sr${}_2$RuO${}_4$ detected by in-plane tunneling spectroscopy
• Josephson radiation from gapless Andreev bound states in HgTe-based topological junctions
• Spin-orbit interaction in InSb nanowires
• Majorana Fermions and Odd-frequency Cooper Pairs in a Nano Wire
• Symmetry Protected Topological Superfluids and Superconductors --- From the Basics to ${}^3$He ---
• Circuit theory of unconventional superconductor junctions
• Anomalous features of the proximity effect in triplet superconductors
• Theory of enhanced proximity effect by mid gap Andreev resonant state in diffusive normal metal / triplet superconductor junctions
• Coherent Charge Transport in Metallic Proximity Structures
• Anomalous Josephson effect in p-wave dirty junctions
• Theory of charge transport in diffusive normal metal / unconventional singlet superconductor contacts
• Anomalous Surface Impedance due to Odd-frequency Cooper Pairs
• A phenomenological theory of zero-energy Andreev resonant states
• Engineering Hybrid Epitaxial InAsSb/Al Nanowire Materials for Stronger Topological Protection
• Conductance Spectroscopy of Spin-triplet Superconductors
• Twofold spontaneous symmetry breaking in a heavy fermion superconductor UPt${}_3$
• Paramagnetic instability of small topological superconductors
• Odd-frequency Cooper pairs in two-band superconductors and their magnetic response
• Disappearance of Ensemble-Averaged Josephson Current in Dirty SNS Junctions of d-wave Superconductors
• Fermionic scenario for the destruction of superconductivity in ultrathin MoC films evidenced by STM measurements
• Identification of the Orbital Pairing Symmetry in UPt_3
• Symmetry Protected Topological Superfluid ${}^3$He-B
• Effects of surface roughness on the paramagnetic response of small unconventional superconductors
• Spontaneous edge current in a small chiral superconductor with a rough surface
• Quantization of Conductance Minimum and Index Theorem
• Anomalous Proximity Effect and Theoretical Design for its Realization
• Degeneracy of Majorana bound states and fractional Josephson effect in a dirty SNS junction
• Consistent two-lifetime model for spectral functions of superconductors
• Theory of tunneling spectroscopy of normal metal/ferromagnet/spin-triplet superconductor junctions
• Local density of states in two-dimensional topological superconductors under a magnetic field: signature of an exterior Majorana bound state
• Electron transport in p-wave superconductor-normal metal junctions

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• 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