Circuit theory of unconventional superconductor junctions

Abstract

We extend the circuit theory of superconductivity to cover transport and proximity effect in mesoscopic systems that contain unconventional superconductor junctions. The approach fully accounts for zero-energy Andreev bound states forming at the surface of unconventional superconductors. As a simple application, we investigate the transport properties of a diffusive normal metal in series with a d-wave superconductor junction. We reveal the competition between the formation of Andreev bound states and proximity effect, that depends on the crystal orientation of the junction interface.

4 pages

Cited by in corpus (74)

• Symmetry and Topology in Superconductors - Odd-frequency pairing and edge states -
• Topology of Andreev Bound States with Flat Dispersion
• Theory of the proximity effect in junctions with unconventional superconductors
• Odd-frequency pairing in normal metal/superconductor junctions
• Anomalous charge transport in mesoscopic triplet superconductor junctions
• Majorana Fermions and Odd-frequency Cooper Pairs in a Nano Wire
• 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
• 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
• Conductance Spectroscopy of Spin-triplet Superconductors
• Theory of Majorana zero modes in unconventional superconductors
• Circuit theory of crossed Andreev reflection
• Odd-frequency superconducting states with different types of Meissner response: Problem of coexistence
• Resonant proximity effect in normal metal / diffusive ferromagnet / superconductor junctions
• Theory of charge transport in diffusive normal metal / conventional superconductor point contacts
• Variational Monte Carlo Studies of Pairing Symmetry for the t-J Model on a Triangular Lattice
• Proximity effect with noncentrosymmetric superconductors
• Proximity effect in clean strong/weak/strong superconducting tri-layers
• Quantization of Conductance Minimum and Index Theorem
• Fragile surface zero-energy flat bands in three-dimensional chiral superconductors
• Theory of Josephson effect in unconventional superconducting junctions with diffusive barriers
• Surface density of states of s+-wave Cooper pairs in a two-band model
• Tunneling Spectra of Skutterudite PrOs_4Sb_{12}
• Theory of surface Andreev bound states and tunneling spectroscopy in three-dimensional chiral superconductors
• Topological superconductivity and Majorana fermions in hybrid structures involving cuprate high-T_c superconductors
• Microscopic theory of tunneling spectroscopy in Sr${}_2$RuO${}_4$
• Spin-sensitive Long-ranged Proximity Effect for Triplet Superconductors
• Anomalous surface states at interfaces in p-wave superconductors
• Tunneling conductance due to discrete spectrum of Andreev states
• Robustness of Spin-Triplet Pairing and Singlet-Triplet Pairing Crossover in Superconductor/Ferromagnet Hybrids
• Proximity effect and its enhancement by ferromagnetism in high-temperature superconductor-ferromagnet structures
• Influence of the impurity scattering on charge transport in unconventional superconductor junctions
• Quasi-classical theory of tunneling spectroscopy in superconducting topological insulator
• Conductance spectra of ferromagnetic superconductors: Quantum transport in a ferromagnetic metal/non-unitary ferromagnetic superconductor junction
• 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
• Influence of magnetic impurities on charge transport in diffusive-normal-metal / superconductor junctions
• Charge and spin transport through a ferromagnet/insulator/unconventional superconductor junction
• Pairing symmetry of superconductivity coexisting with antiferromagnetism
• Theory of Josephson effect in chiral p-wave superconductor / diffusive normal metal / chiral p-wave superconductor junctions
• Proximity Effect in Normal Metal - High Tc Superconductor Contacts
• Nonmonotonic temperature dependence of critical current in diffusive d-wave junctions
• Identifying the odd-frequency superconducting state by a field-induced Josephson effect
• Effects of spin orbit coupling in superconducting proximity devices -- application to $\mathrm{CoS}{\mathrm{i}}_2/TiS{\mathrm{i}}_2$ heterostructures
• Anomalous proximity effect in gold coated (110) $YB{a}_{2}C{u}_3{O}_{7-\delta }$ films: Penetration of the Andreev bound states
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• Angular dependence of Josephson currents in unconventional superconducting junctions
• Theory of thermal and charge transport in diffusive normal metal / superconductor junctions
• Spin-polarized proximity effect in superconducting junctions
• Theory of proximity effect in $s+p$-wave superconductor junctions
• Boundary-Induced Topological and Mid-Gap States in Charge Conserving One-Dimensional Superconductors
• Zero-bias conductance peak splitting due to multiband effect in tunneling spectroscopy
• Symmetry conditions of a nodal superconductor for generating robust flat-band Andreev bound states at its dirty surface
• Josephson effect in d-wave superconductor junctions in a lattice model
• Effects of the phase coherence on the local density of states in superconducting proximity structures
• Spin and Charge Currents in SNS Josephson Junction with f-wave Pairing Symmetry
• Pairing competition in a quasi-one-dimensional model of organic superconductors (TMTSF)${}_{2}X$ in magnetic field
• Anomalous Surface Impedance in a Normal-metal/Superconductor Junction with a Spin-active Interface
• Odd-parity pairing correlations in a d-wave superconductor
• A quantitative model for IcR product in d-wave Josephson junctions
• Influence of impurity-scattering on tunneling conductance in d-wave superconductors with broken time reversal symmetry
• Does a ferromagnet with spin-dependent masses produce a spin-filtering effect in a ferromagnetic/insulator/superconductor junction?
• Proximity effect of time-reversal symmetry broken non-centrosymmetric superconductors
• Surface State of Inter-orbital Pairing State in Sr${}_2$RuO${}_4$ Superconductor
• Spin conductance in SNN junctions with non-centrosymmetric superconductors
• Josephson effect in quasi one-dimensional unconventional superconductors
• Effects of spin orbit coupling on proximity induced superconductivity
• Anisotropic differential conductance of a mixed parity superconductor/ferromagnet structure
• Quasiparticle spectrum in mesoscopic superconducting junctions with weak magnetization
• Smearing origin of zero-bias conductance peak in Ag-SiO-Bi-2212 planar tunnel junctions: influence of diffusive normal metal verified with the circuit theory
• Theory of Josephson current on a lattice model of grain boundary in $d$-wave superconductors