Odd-parity pairing correlations in a d-wave superconductor

Abstract

We theoretically study the effects of spin-orbit interactions on symmetry of a Cooper pair in a spin-singlet d-wave superconductor in two-dimension. The pairing symmetry is analyzed in terms of the anomalous Green's function which is obtained by solving the Gor'kov equation analytically. A spin-orbit interaction induces a spin-triplet p-wave pairing correlation in a uniform superconductor. An odd-frequency spin-triplet s-wave pairing correlation appears at a surface of such superconductor as a result of breaking inversion symmetry locally. We also discuss a close relationship among the odd-frequency pairing correlation, chirality of surface bound states at the zero energy, and the anomalous proximity effect. The obtained results enable us to design a superconductor which causes the strong anomalous proximity effect.

14 pages, 5 figures

References in corpus (31)

• Majorana Fermions and a Topological Phase Transition in Semiconductor-Superconductor Heterostructures
• Helical liquids and Majorana bound states in quantum wires
• Majorana fermions in a tunable semiconductor device
• Heavy fermion superconductivity and magnetic order in non-centrosymmetric $CeP{t}_{3}Si$
• Superconducting 2D system with lifted spin degeneracy: Mixed singlet-triplet state
• Superconductivty without inversion symmetry: MnSi versus CePt_3Si
• Topological Phases of Noncentrosymmetric Superconductors: Edge States, Majorana Fermions, and the Non-Abelian Statistics
• An Exact SU(2) Symmetry and Persistent Spin Helix in a Spin-Orbit Coupled System
• Emergence of the persistent spin helix in semiconductor quantum wells
• Topology of Andreev Bound States with Flat Dispersion
• Theory of the proximity effect in junctions with unconventional superconductors
• Direct mapping of the formation of a persistent spin helix: Supplementary information
• Odd-frequency superconductivity
• Electron Correlation and Pairing States in Superconductors without Inversion Symmetry
• Persistent Spin Textures in Semiconductor Nanostructures
• Anomalous charge transport in mesoscopic triplet superconductor junctions
• Majorana Fermions and Odd-frequency Cooper Pairs in a Nano Wire
• Circuit theory of unconventional superconductor junctions
• Anomalous Josephson effect in p-wave dirty junctions
• Nodal Structure of Superconductors with Time-Reversal Invariance and Z2 Topological Number
• Odd-frequency superconducting pairing in one-dimensional systems
• Proximity-induced triplet superconductivity in Rashba materials
• Disappearance of Ensemble-Averaged Josephson Current in Dirty SNS Junctions of d-wave Superconductors
• Odd-frequency superconducting pairing in junctions with Rashba spin-orbit coupling
• Quasiclassical theory of magnetoelectric effects in superconducting heterostructures in the presence of the spin-orbit coupling
• Quantization of Conductance Minimum and Index Theorem
• Anomalous Proximity Effect and Theoretical Design for its Realization
• Majorana fermions in s-wave noncentrosymmetric superconductor with Rashba and Dresselhaus (110) spin-orbit couplings
• Theory of proximity effect in two-dimensional unconventional superconductor with Rashba spin-orbit interaction
• Degeneracy of Majorana bound states and fractional Josephson effect in a dirty SNS junction
• Symmetry conditions of a nodal superconductor for generating robust flat-band Andreev bound states at its dirty surface

Cited by in corpus (6)

• Superconducting phenomena in systems with unconventional magnets
• Theory of Tunneling Spectroscopy in Unconventional $p$-wave Magnet-Superconductor Hybrid Structures
• Josephson effect and odd-frequency pairing in superconducting junctions with unconventional magnets
• Classification of pair symmetries in superconductors with unconventional magnetism
• Strong anomalous proximity effect from spin-singlet superconductors
• Tunneling conductance in superconducting junctions with $p$-wave unconventional magnets breaking time-reversal symmetry