Theory of the proximity effect in junctions with unconventional superconductors

Abstract

We present a general theory of the proximity effect in junctions between diffusive normal metals (DN) and unconventional superconductors in the framework of the quasiclassical Green's function formalism. Various possible symmetry classes in a superconductor are considered which are consistent with the Pauli principle: even-frequency spin-singlet even-parity (ESE) state, even-frequency spin-triplet odd-parity (ETO) state, odd-frequency spin-triplet even-parity (OTE) state and odd-frequency spin-singlet odd-parity (OSO) state. For each of the above four cases symmetry and spectral properties of the induced pair amplitude in the DN are determined. It is shown that the pair amplitude in a DN belongs respectively to an ESE, OTE, OTE and ESE pairing state.

5 pages with one figure

References in corpus (21)

• Odd Triplet Superconductivity and Related Phenomena in Superconductor-Ferromagnet Structures
• A spin triplet supercurrent through the half-metallic ferromagnet CrO2
• Long-range effects in superconductor-ferromagnet structures
• Quasiclassical Green's function approach to mesoscopic superconductivity
• Theory of Half Metal-Superconductor Heterostructures
• Andreev bound states in high-$T_c$ superconducting junctions
• Quantum Spin Fluctuations as a Source of Long-Range Proximity Effects in Diffusive Ferromagnet-Superconductor Structures
• Distribution functions in non-equilibrium theory of superconductivity and Andreev spectroscopy in unconventional superconductors
• Superconducting phase coherent electron transport in proximity conical ferromagnets
• Anomalous charge transport in mesoscopic triplet superconductor junctions
• Triplet proximity effect in FSF trilayers
• Odd Frequency Pairing in the Kondo Lattice
• Indications of Unconventional Superconductivity in Doped and Undoped Triangular Antiferromagnets
• 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
• Realization of odd-frequency p-wave spin-singlet superconductivity coexisting with antiferromagnetic order near quantum critical point
• Anomalous Josephson effect in p-wave dirty junctions
• Theory of charge transport in diffusive normal metal / unconventional singlet superconductor contacts
• Gapless Magnetic and Quasiparticle Excitations due to the Coexistence of Antiferromagnetism and Superconductivity in CeRhIn${}_5$ : A study of ${}^{115}$In-NQR under Pressure
• Coexistence of antiferromagnetic order and unconventional superconductivity in heavy fermion compounds CeRh_{1-x}Ir_xIn_5: nuclear quadrupole resonance studies

Cited by in corpus (199)

• Spin-polarized supercurrents for spintronics: a review of current progress
• Symmetry and Topology in Superconductors - Odd-frequency pairing and edge states -
• Evaluation of Spin-Triplet Superconductivity in Sr2RuO4
• Triplet supercurrents in clean and disordered half-metallic ferromagnets
• Topology of Andreev Bound States with Flat Dispersion
• Odd-frequency superconductivity
• Odd-frequency pairing in normal metal/superconductor junctions
• Josephson Effect due to Odd-frequency Pairs in Diffusive Half Metals
• Transport in two-dimensional topological materials: recent developments in experiment and theory
• Majorana Fermions and Odd-frequency Cooper Pairs in a Nano Wire
• Fermion Fractionalization to Majorana Fermions in Dimerized Kitaev Superconductor
• Symmetry Protected Topological Superfluids and Superconductors --- From the Basics to ${}^3$He ---
• Odd-frequency Pairs and Josephson Current through a Strong Ferromagnet
• Manifestation of the odd-frequency spin-triplet pairing state in diffusive ferromagnet / superconductor junctions
• Odd-frequency superconducting pairing in multi-band superconductors
• Proximity-induced unconventional superconductivity in topological insulators
• Josephson effect due to the long-range odd-frequency triplet superconductivity in SFS junctions with Neel domain walls
• On Larkin-Imry-Ma State of 3He-A in Aerogel
• Pairing symmetry conversion by spin-active interfaces in superconducting junctions
• Anomalous Surface Impedance due to Odd-frequency Cooper Pairs
• Odd-frequency superconducting pairing in one-dimensional systems
• Odd-frequency superconducting pairing in topological insulators
• Odd-frequency superconducting pairing and subgap density of states at the edge of a two-dimensional topological insulator without magnetism
• Conductance Spectroscopy of Spin-triplet Superconductors
• Theory of Majorana zero modes in unconventional superconductors
• Superconducting proximity effect in three-dimensional topological insulators in the presence of a magnetic field
• Odd-Frequency Triplet Superconductivity at the Helical Edge of a Toplogical Insulator
• Signature of odd-frequency pairing correlations induced by a magnetic interface
• Odd-frequency superconducting states with different types of Meissner response: Problem of coexistence
• Theory of superconducting and magnetic proximity effect in S$\mid$F structures with inhomogeneous magnetization textures and spin-active interfaces
• Superconducting phenomena in systems with unconventional magnets
• On stability of odd-frequency superconducting state
• Paramagnetic instability of small topological superconductors
• Odd-frequency Cooper pairs in two-band superconductors and their magnetic response
• The Role of Odd-Frequency Pairing in Multiband Superconductors
• Odd-frequency superconductivity in Sr${}_2$RuO${}_4$ measured by Kerr rotation
• Unconventional Superconductivity in Double Quantum Dots
• Majorana bound states in semiconducting nanostructures
• Theory of time reversal topological superconductivity in double Rashba wires -- symmetries of Cooper pair and Andreev bound states
• Odd-frequency superconducting pairing in junctions with Rashba spin-orbit coupling
• Conductance signatures of odd-frequency superconductivity in quantum spin Hall systems using a quantum point contact
• Theory of pairing symmetry inside the Abrikosov vortex core
• Band hybridization induced odd-frequency pairing in multiband superconductors
• Spin-active interfaces and unconventional pairing in half-metal$\mid$superconductor junctions
• Model for Vortex-core tunneling spectroscopy of chiral p-wave superconductors via odd-frequency pairing states
• Odd-frequency Superconductivity on a Quasi-one-dimensional Triangular Lattice in the Hubbard Model
• Theory of superconductor-ferromagnet point contact spectra: the case of strong spin polarization
• Symmetry Protected Topological Superfluid ${}^3$He-B
• Josephson effect and odd-frequency pairing in superconducting junctions with unconventional magnets
• Effects of surface roughness on the paramagnetic response of small unconventional superconductors
• Topological phases of quasi-one-dimensional fermionic atoms with a synthetic gauge field
• Odd-frequency pair in topological superconductivity of 1D magnetic chain
• Quantization of Conductance Minimum and Index Theorem
• Universal spin-triplet superconducting correlations of Majorana fermions
• Possible Odd-Frequency Superconductivity in Strong-Coupling Electron-Phonon Systems
• Fragile surface zero-energy flat bands in three-dimensional chiral superconductors
• Odd-frequency superconductivity in a nanowire coupled to Majorana zero modes
• Anomalous Proximity Effect and Theoretical Design for its Realization
• Unveiling odd-frequency pairing around a magnetic impurity in a superconductor
• Inter-orbital topological superconductivity in spin-orbit coupled superconductors with inversion symmetry breaking
• Odd-frequency pairing and Kerr effect in the heavy-fermion superconductor UPt${}_3$
• Mean-field description of odd-frequency superconductivity with staggered ordering vector
• Odd-Frequency Pairs in Chiral Symmetric Systems: Spectral Bulk-Boundary Correspondence and Topological Criticality
• Surface density of states of s+-wave Cooper pairs in a two-band model
• Tuning odd triplet superconductivity by spin pumping
• Theory of surface Andreev bound states and tunneling spectroscopy in three-dimensional chiral superconductors
• Odd-frequency Superconductivity in Driven Systems
• Spontaneous spin current due to triplet superconductor--ferromagnet interfaces
• Realization of Berezinskii's superconductivity in quasi-one-dimensional systems
• Unconventional proximity-induced superconductivity in bilayer systems
• Classification of pair symmetries in superconductors with unconventional magnetism
• Microscopic theory of tunneling spectroscopy in Sr${}_2$RuO${}_4$
• Odd-frequency superconductivity and Meissner effect in the doped topological insulator Bi${}_2$Se${}_3$
• The Josephson current in Fe-based superconducting junctions: theory and experiment
• Odd-frequency Cooper pairs and zero-energy surface bound states in superfluid 3He
• Anomalous surface states at interfaces in p-wave superconductors
• Pure Odd Frequency Superconductivity at the Cores of Proximity Vortices
• Odd-frequency pairing and proximity effect in Kitaev chain systems including topological critical point
• Proximity effect and its enhancement by ferromagnetism in high-temperature superconductor-ferromagnet structures
• Nodeless bulk superconductivity in the time-reversal symmetry breaking Bi/Ni bilayer system
• Robustness of Spin-Triplet Pairing and Singlet-Triplet Pairing Crossover in Superconductor/Ferromagnet Hybrids
• Odd-frequency superconducting pairing in Kitaev-based junctions
• Induced Energy Gap in Finite-Sized Superconductor/Ferromagnet Hybrids
• Multiple odd-frequency superconducting states in buckled quantum spin Hall insulators with time-reversal symmetry
• Floquet engineering bulk odd-frequency superconducting pairs
• Influence of the impurity scattering on charge transport in unconventional superconductor junctions
• Evolution of Pair Correlation Symmetries and Supercurrent Reversal in Tilted Weyl Semimetals
• All-electrical generation and control of odd-frequency s-wave Cooper pairs in double quantum dots
• Odd-frequency Superconductivity Revealed by Thermopower
• Signature of odd-frequency equal-spin triplet pairing in the Josephson current on the surface of Weyl nodal loop semimetals
• Current fluctuations in unconventional superconductor junctions with impurity scattering
• Quasiclassical Eilenberger theory of the topological proximity effect in a superconducting nanowire
• Odd-frequency superconductivity near a magnetic impurity in a conventional superconductor
• Pair symmetry conversion in driven multiband superconductors
• Consequences of bulk odd-frequency superconducting states for the classification of Cooper pairs
• Van der Waals heterostructures with spin-orbit coupling
• Quasi-classical theory of tunneling spectroscopy in superconducting topological insulator
• Wave function for odd frequency superconductors
• Scanning tunneling spectroscopy study of c-axis proximity effect in epitaxial bilayer manganite/cuprate thin films
• Multifaceted properties of Andreev bound states: Interplay of symmetry and topology
• Odd-frequency pairing effect on the superfluid density and the Pauli spin susceptibility in spatially nonuniform spin-singlet superconductors
• Bulk odd-frequency pairing in the superconducting Su-Schrieffer-Heeger model
• Generalized Eilenberger theory for Majorana zero-mode-carrying disordered $p$-wave superconductors
• Theory of pairing symmetry in Fulde-Ferrell-Larkin-Ovchinnikov vortex state and vortex lattice
• Disorder-robust $p$-wave pairing with odd frequency dependence in normal metal-conventional superconductor junctions
• Observability of surface Andreev bound states in a topological insulator in proximity to an s-wave superconductor
• Theory of proximity effect in two-dimensional unconventional superconductor with Rashba spin-orbit interaction
• Odd-frequency Cooper pair amplitude around a vortex core in a chiral p-wave superconductor in the quantum limit
• Intrinsic spin-orbit interaction in diffusive normal wire Josephson weak links: supercurrent and density of states
• Josephson effect in a multi-orbital model for Sr${}_2$RuO${}_4$
• Odd-frequency pairing and Ising spin susceptibility in time-reversal invariant superfluids and superconductors
• Theory of Josephson effect in chiral p-wave superconductor / diffusive normal metal / chiral p-wave superconductor junctions
• Pairing symmetry of superconductivity coexisting with antiferromagnetism
• Odd-triplet superconductivity in single-level quantum dots
• Electrically controllable spin filtering based on superconducting helical states
• Odd-frequency pairing inherent in Bogoliubov Fermi liquid
• Emergent Odd-Frequency Superconducting Order Parameter near Boundaries in Unconventional Superconductors
• Gapped superconductivity with all symmetries in InSb (110) quantum wells in proximity to s-wave superconductor in Fulde-Ferrell-Larkin-Ovchinnikov phase or with a supercurrent
• Localization and oscillations of Majorana fermions in a two-dimensional electron gas coupled with $d$-wave superconductors
• Super-magnetoresistance effect in triplet spin valves
• Effects of spin orbit coupling in superconducting proximity devices -- application to $\mathrm{CoS}{\mathrm{i}}_2/TiS{\mathrm{i}}_2$ heterostructures
• Identifying the odd-frequency superconducting state by a field-induced Josephson effect
• Observability of surface currents in p-wave superconductors
• Anomalous Proximity Effect of Planer Topological Josephson Junctions
• Conductance of a junction between a normal metal and a Berezinskii superconductor
• Controllable odd-frequency Cooper pairs in multi-superconductor Josephson junctions
• Thermoelectric detection of Andreev states in unconventional superconductors
• Tunneling and Josephson effects in odd-frequency superconductor junctions: A study on multi-channel Kondo chain
• Quantum transport in a normal metal/odd-frequency superconductor junction
• Floquet engineering spin triplet states in unconventional magnets
• Triplet supercurrent due to spin-active zones in a Josephson junction
• Theory of proximity effect in $s+p$-wave superconductor junctions
• Theory of pair density wave on a quasi-one-dimensional lattice in the Hubbard model
• Superconducting pairing symmetry on the extended Hubbard model in the presence of the Rashba-type spin-orbit coupling
• Quasiparticle on Bogoliubov Fermi Surface and Odd-Frequency Cooper Pair
• Exciting odd frequency equal-spin-triplet correlations at metal-superconductor interfaces
• Odd-frequency superconductivity in dilute magnetic superconductors
• Local impedance on a rough surface of a chiral $p$-wave superconductor
• Effects of the phase coherence on the local density of states in superconducting proximity structures
• Gapless odd-frequency superconductivity induced by the Sachdev-Ye-Kitaev model
• Strong anomalous proximity effect from spin-singlet superconductors
• Edge-induced pairing states in a Josephson junction through a spin-polarized quantum anomalous Hall insulator
• Odd-frequency superconductivity induced in topological insulators with and without hexagonal warping
• Signatures of odd-frequency correlations in the Josephson current of superconductor/ferromagnet hybrid junctions
• Surface density of states and tunneling spectroscopy of a spin-3/2 superconductor with Bogoliubov Fermi Surfaces
• Josephson current in a normal-metal nanowire coupled to superconductor/ferromagnet/superconductor junction
• Local density of states in two-dimensional topological superconductors under a magnetic field: signature of an exterior Majorana bound state
• Influence of electron-phonon coupling strength on signatures of even and odd-frequency superconductivity
• Effect of disorder on Majorana localization in topological superconductors: a quasiclassical approach
• Interface probe for antiferromagnets using geometric curvature
• Generation of odd-frequency surface superconductivity with spontaneous spin current due to the zero-energy Andreev bound state
• Pairing competition in a quasi-one-dimensional model of organic superconductors (TMTSF)${}_{2}X$ in magnetic field
• Generation of polarized spin-triplet Cooper pairings by magnetic barriers in superconducting junctions
• Emergence of strongly correlated electronic states driven by the Andreev bound state in d-wave superconductors
• Odd-frequency superconductivity induced by non-magnetic impurities
• Pairing mechanism of unconventional superconductivity in doped Kane-Mele model
• Anomalous Surface Impedance in a Normal-metal/Superconductor Junction with a Spin-active Interface
• Symmetry-breaking signatures of multiple Majorana zero modes in one-dimensional spin-triplet superconductors
• Odd-parity pairing correlations in a d-wave superconductor
• Signatures of odd-frequency pairing in the Josephson junction current noise
• Theory of quantum-geometric charge and spin Josephson diode effects in strongly spin-polarized hybrid structures with noncoplanar spin textures
• Cooper Pair Shape in Normal-metal/Superconductor Junctions
• Odd-frequency superconducting pairing due to multiple Majorana edge modes in driven topological superconductors
• Anisotropic paramagnetic response of topological Majorana surface states in the superconductor ${\text{UTe}}_2$
• Microscopic theory of a superconducting gap in the quasi-one-dimensional organic conductor (TMTSF)${}_2$ClO${}_4$: Model derivation and two-particle self-consistent analysis
• Odd-frequency pairing due to Majorana and trivial Andreev bound states
• Odd-frequency pairing in a superconductor coupled to two parallel nanowires
• Spectroscopic and optical response of odd-frequency superconductors
• Light-induced Floquet spin-triplet Cooper pairs in unconventional magnets
• Odd-frequency Pairing in the Edge States of Superconducting Pnictides in the Coexistence Phase with Antiferromagnetism
• Odd frequency pairing in a quantum critical metal
• Proximity effect of time-reversal symmetry broken non-centrosymmetric superconductors
• Odd-frequency pairing in a nonunitary p-wave superconductor with multiple Majorana fermions
• Discontinuous Transition to Superconducting Phase
• Anomalous proximity effect under Andreev and Majorana bound states
• Spin conductance in SNN junctions with non-centrosymmetric superconductors
• Effects of spin orbit coupling on proximity induced superconductivity
• Odd-frequency pairs and anomalous proximity effect in nematic and chiral states of superconducting topological insulators
• Theory of Josephson Current on a Magnetically Doped Topological Insulator
• Spin-resolved Josephson diode effect through strongly spin-polarized conical magnets
• Impact of impurity scattering on odd-frequency spin-triplet pairing near the edge of the Kitaev chain
• Mixing of odd- and even-frequency pairings in strongly correlated electron systems under magnetic field
• Static and dynamic properties of Josephson weak links with singlet and triplet coupling
• Fluctuation-induced odd-frequency spin-triplet pairing in disordered electron liquid
• Vortex supercurrent inversion by frequency-symmetry conversion of Cooper pairs
• On the Meissner Effect of the Odd-Frequency Superconductivity with Critical Spin Fluctuations: Possibility of Zero Field FFLO pairing
• Quasiparticle spectrum in mesoscopic superconducting junctions with weak magnetization
• Finite-momentum mixed singlet-triplet pairing in chiral antiferromagnets induced by even-parity spin texture
• Equal contribution of even and odd frequency pairing to transport across normal metal-superconductor junctions
• Fulde-Ferrell-Larkin-Ovchinnikov state in a superconducting thin film attached to a ferromagnetic cluster
• Odd-frequency pairing of Bogoliubov quasiparticles in superconductor junction
• Theory of Josephson current on a lattice model of grain boundary in $d$-wave superconductors
• Diamagnetic Meissner response of odd-frequency superconducting pairing from quantum geometry
• Particle-hole spectral asymmetry at the edge of multiorbital noncentrosymmetric superconductors
• $\eta$-pairing on bipartite and non-bipartite lattices
• Density of states in the heterostructure ferromagnetic insulator-superconductor-ferromagnetic insulator
• Controlling superconducting spin flow with spin-flip immunity using a single homogeneous ferromagnet
• Identification of odd-frequency superconducting pairing in Josephson junctions
• Spin-Valley Locking and Pure Spin-Triplet Superconductivity in Noncollinear Antiferromagnets Proximitized to Conventional Superconductors