Theory of Josephson effect in unconventional superconducting junctions with diffusive barriers

Abstract

We study theoretically the Josephson effect in junctions based on unconventional superconductors with diffusive barriers, using the quasiclassical Green's function formalism. Generalized boundary conditions at junction interfaces applicable to unconventional superconductors are derived by calculating a matrix current within the circuit transport theory. Applying these boundary conditions, we have calculated the Josephson current in structures with various pairing symmetries. A number of predictions are made: (a) nonmonotonic temperature dependence in d-wave superconductor/diffusive normal metal/d-wave superconductor (D/DN/D) junctions, (b) anomalous current-phase relation in $p$-wave superconductor/diffusive normal metal/$p$% -wave superconductor (P/DN/P) junctions, (c) second harmonics in D/DN/D and P/DN/P junctions, (d) a double peak structure of the critical current in D/DF/D junctions, (e) enhanced Josephson current by the exchange field in S/DF/P junctions. We have also investigated peculiarities of the Josephson coupling in D/DF/D, P/DF/P and S/DF/P junctions. An oscillatory behavior of the supercurrent and the second harmonics in the current-phase relation are studied as a function of the length of the diffusive ferromagnet.

15 pages, 14 figures, long version of Phys. Rev. B 73, 140504(R) (2006)(cond-mat/0605373)

References in corpus (8)

• Critical Current Oscillations in Strong Ferromagnetic Pi-Junctions
• Half-integer Shapiro steps at the 0-pi crossover of a ferromagnetic Josephson junction
• High quality ferromagnetic 0 and pi Josephson tunnel junctions
• Anomalous Josephson effect in p-wave dirty junctions
• Striking properties of Superconductor/Ferromagnet structures with spin-dependent scattering
• Superharmonic Josephson relation at 0-/$\pi$-junction transition
• Nonmonotonic temperature dependence of critical current in diffusive d-wave junctions
• Angular dependence of Josephson currents in unconventional superconducting junctions

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• 0-$\pi$ transition in magnetic triplet superconductor Josephson junctions
• The role of interface transparency and spin-dependent scattering in diffusive ferromagnet/superconductor heterostructures
• Origin and control of spin currents in a magnetic triplet Josephson junction
• Odd-frequency Cooper pair amplitude around a vortex core in a chiral p-wave superconductor in the quantum limit
• Theory of Josephson effect in chiral p-wave superconductor / diffusive normal metal / chiral p-wave superconductor junctions
• Identifying the odd-frequency superconducting state by a field-induced Josephson effect
• A quantitative model for IcR product in d-wave Josephson junctions
• Characterization of Sr2RuO4 Josephson junctions made of epitaxial films
• The physics of superconductor-ferromagnet hybrid structures