Generation of odd-frequency surface superconductivity with spontaneous spin current due to the zero-energy Andreev bound state

Abstract

We propose that the odd-frequency $s$ wave ($s^{\mathrm{odd}}$ wave) superconducting gap function, which is usually unstable in the bulk, naturally emerges at the edge of $d$ wave superconductors. This prediction is based on the surface spin fluctuation pairing mechanism owing to the zero-energy surface Andreev bound state. The interference between bulk and edge gap functions triggers the $d+s^{\mathrm{odd}}$ state, and the generated spin current is a useful signal uncovering the ``hidden'' odd-frequency gap. In addition, the edge $s^{\mathrm{odd}}$ gap can be determined via the proximity effect on the diffusive normal metal. Furthermore, this study provides a decisive validation of the ``Hermite odd-frequency gap function,'' which has been an open fundamental challenge to this field.

arXiv comment9pages, 8figures

References in corpus (68)

• Proximity effects in superconductor-ferromagnet heterostructures
• Odd Triplet Superconductivity and Related Phenomena in Superconductor-Ferromagnet Structures
• A Common Thread: the pairing interaction for the unconventional superconductors
• Scanning tunneling spectroscopy of high-temperature superconductors
• Long-range effects in superconductor-ferromagnet structures
• Symmetry and Topology in Superconductors - Odd-frequency pairing and edge states -
• Tunneling into Current-Carrying Surface States of High T${}_c$ Superconductors
• Theory of Half Metal-Superconductor Heterostructures
• Non-perturbative many-body approach to the Hubbard model and single-particle pseudogap
• Topology of Andreev Bound States with Flat Dispersion
• Impurity-Induced Quasiparticle Transport and Universal Limit Wiedemann-Franz Violation in d-Wave Superconductors
• Theory of the proximity effect in junctions with unconventional superconductors
• Odd-frequency superconductivity
• Josephson current in superconductor-ferromagnet structures with a nonhomogeneous magnetization
• Self-Consistent Vertex Correction Analysis for Iron-Based Superconductors: Mechanism of Coulomb-Interaction-Driven Orbital Fluctuations
• Nonmonotonic critical temperature in superconductor/ferromagnet bilayers
• Odd-frequency pairing in normal metal/superconductor junctions
• Properties of Odd Gap Superconductors
• Josephson Effect due to Odd-frequency Pairs in Diffusive Half Metals
• Anomalous charge transport in mesoscopic triplet superconductor junctions
• Anomalous Transport Phenomena in Fermi Liquids with Strong Magnetic Fluctuations
• Indications of Unconventional Superconductivity in Doped and Undoped Triangular Antiferromagnets
• Possible Realization of Odd Frequency Pairing in Heavy Fermion Compounds
• Manifestation of the odd-frequency spin-triplet pairing state in diffusive ferromagnet / superconductor junctions
• Anomalous features of the proximity effect in triplet superconductors
• Realization of odd-frequency p-wave spin-singlet superconductivity coexisting with antiferromagnetic order near quantum critical point
• Crossover from weak to strong pairing in unconventional superconductors
• Nematicity and magnetism in FeSe and other families of Fe-based superconductors
• Intrinsic Paramagnetic Meissner Effect due to s-wave Odd-Frequency Superconductivity
• Sign-reversing orbital polarization in the nematic phase of FeSe due to the $C_2$ symmetry-breaking in the self-energy
• Pairing symmetry conversion by spin-active interfaces in superconducting junctions
• Normal State Magnetic Properties of Ni and Zn Substituted in YBa_{2}Cu_{3} O_{6+x}: Hole-Doping Dependence
• Odd-frequency superconducting pairing in one-dimensional systems
• Odd-frequency superconducting states with different types of Meissner response: Problem of coexistence
• Spin-Fluctuation-Driven Nematic Charge-Density-Wave in Cuprate Superconductors: Impact of Aslamazov-Larkin-Type Vertex Correction
• Paramagnetic instability of small topological superconductors
• On stability of odd-frequency superconducting state
• Vanishing Meissner effect as a hallmark of in-plane FFLO instability in superconductor - ferromagnet layered systems
• On the Puzzle of Odd-Frequency Superconductivity
• Effect of Nonmagnetic Impurity in Nearly Antiferromagnetic Fermi Liquid: Magnetic Correlations and Transport Phenomena
• States of Local Moment Induced by Nonmagnetic Impurities in Cuprate Superconductors
• Meissner Effect Probing of Odd-Frequency Triplet Pairing in Superconducting Spin Valves
• Proximity-Induced Odd-Frequency Superconductivity in a Topological Insulator
• Properties of spin-triplet, even-parity superconductors
• Odd-frequency Superconductivity on a Quasi-one-dimensional Triangular Lattice in the Hubbard Model
• On the Thermodynamic Stability of Odd-Frequency Superconductors
• Edge-Ferromagnetism from Majorana Flat-Bands: Application to Split Tunneling-Conductance Peaks in the High-Tc Cuprates
• Effects of surface roughness on the paramagnetic response of small unconventional superconductors
• Multistage Electronic Nematic Transitions in Cuprate Superconductors: Functional-Renormalization-Group Analysis
• Odd-Frequency Pairs in Chiral Symmetric Systems: Spectral Bulk-Boundary Correspondence and Topological Criticality
• Mean-field description of odd-frequency superconductivity with staggered ordering vector
• Origin of diverse nematic orders in Fe-based superconductors: 45${}^{\circ }$ rotated nematicity in AFe${}_2$As${}_2$ (A=Cs, Rb)
• Double-Exchange Ferromagnetism and Orbital-Fluctuation-Induced Superconductivity in Cubic Uranium Compounds
• Competing Unconventional Charge-Density-Wave States in Cuprate Superconductors: Spin-Fluctuation-Driven Mechanism
• Odd-parity spin-loop-current order mediated by transverse spin fluctuations in cuprates and related electron systems
• Emergence of Charge Loop Current in Geometrically Frustrated Hubbard Model: Functional Renormalization Group Study
• Strong-Coupling Superconductivity with Mixed Even- and Odd-Frequency Pairing
• Hidden antiferro-nematic order in Fe-based superconductor BaFe${}_2$As${}_2$ and NaFeAs above $T_S$
• Absence of broken time reversal symmetry beneath the surface of YBCO films
• Dimensional Reduction and Odd-Frequency Pairing of the Checkerboard-Lattice Hubbard Model at 1/4-Filling
• Emergent Odd-Frequency Superconducting Order Parameter near Boundaries in Unconventional Superconductors
• Time-reversal symmetry breaking surface states in t-J model
• Tunneling and Josephson effects in odd-frequency superconductor junctions: A study on multi-channel Kondo chain
• Nonlocal Effect of Local Nonmagnetic Impurity in High-Tc Superconductors: Induced Local Moment and Huge Residual Resistivity
• Emergence of strongly correlated electronic states driven by the Andreev bound state in d-wave superconductors
• Emergence of $d\pm ip$-wave superconducting state at the edge of $d$-wave superconductors mediated by Andreev-bound-state-driven ferromagnetic fluctuations
• Prediction of pseudogap formation due to $d$-wave bond-order in organic superconductor $\kappa$-(BEDT-TTF)${}_2$X
• Edge-induced strongly correlated electronic states in two-dimensional Hubbard model: Enhancement of magnetic correlations and self-energy effects

Cited by in corpus (6)

• Controllable odd-frequency Cooper pairs in multi-superconductor Josephson junctions
• Induced odd-frequency superconducting state in vertex-corrected Eliashberg theory
• Odd-frequency pairing in a nonunitary p-wave superconductor with multiple Majorana fermions
• Odd-frequency pairs and anomalous proximity effect in nematic and chiral states of superconducting topological insulators
• Odd-frequency pairing of Bogoliubov quasiparticles in superconductor junction
• Yu-Shiba-Rusinov bound states boost odd-frequency superconductivity