Josephson effect in SFXSF junctions

  • N. M. Chtchelkatchev
  • W. Belzig
  • C. Bruder
Condensed Matter


We investigate the Josephson effect in SFXSF junctions, where SF is a superconducting material with a ferromagnetic exchange field, and X is a weak link. The critical current Ic increases with the (antiparallel) exchange fields, if the distribution of transmission eigenvalues of the X layer has its maximum weight at small values. This exchange-field enhancement of the supercurrent does not exist if X is a diffusive normal metal. At low temperatures, there is a correspondence between the critical current in an SFISF junction with collinear orientations of the two exchange fields, and the AC supercurrent amplitude in an SIS tunnel junction. The difference in the exchange fields h1-h2 in an SFISF junction corresponds to the potential difference V1-V2 in an SIS junction; i.e., the singularity in Ic [in an SFISF junction] at |h1-h2|=Δ12 is the analogue of the Riedel peak. We also discuss the AC Josephson effect in SFISF junctions.

PACS numbers

74.50.+r 74.80.−g 75.70.−I 


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  1. 1.
    G. Sarma, J. Phys. Chem. Solids 24, 1029 (1963); D. Saint-James, G. Sarma, and E. J. Thomas, Type II Superconductivity (Pergamon, Oxford, 1969), p. 159.zbMATHGoogle Scholar
  2. 2.
    A. I. Buzdin, L. N. Bulaevskii, M. L. Kulic, et al., Usp. Fiz. Nauk 144, 597 (1984) [Sov. Phys. Usp. 27, 927 (1984)].Google Scholar
  3. 3.
    Ya. V. Fominov, N. M. Chtchelkatchev, and A. A. Golubov, Pis'ma Zh. Éksp. Teor. Fiz. 74, 101 (2001) [JETP Lett. 74, 96 (2001)].Google Scholar
  4. 4.
    E. A. Demler, G. B. Arnold, and M. R. Beasley, Phys. Rev. B 55, 15174 (1997).Google Scholar
  5. 5.
    F. S. Bergeret, A. F. Volkov, and K. B. Efetov, Phys. Rev. Lett. 86, 3140 (2001).ADSGoogle Scholar
  6. 6.
    V. N. Krivoruchko and E. A. Koshina, cond-mat/0104251.Google Scholar
  7. 7.
    N. M. Chtchelkatchev, W. Belzig, Yu. V. Nazarov, and C. Bruder, Pis'ma Zh. Éksp. Teor. Fiz. 74, 357 (2001) [JETP Lett. 74, 323 (2001)].Google Scholar
  8. 8.
    A. A. Golubov, M. Yu. Kupriyanov, and Ya. V. Fominov, Pis'ma Zh. Éksp. Teor. Fiz. 75, 223 (2002) [JETP Lett. 75, 190 (2002)].Google Scholar
  9. 9.
    E. Riedel, Z. Naturforsch. A 19, 1634 (1964).zbMATHGoogle Scholar
  10. 10.
    N. R. Werthamer, Phys. Rev. 147, 255 (1966).ADSGoogle Scholar
  11. 11.
    A. I. Larkin and Yu. N. Ovchinnikov, Zh. Éksp. Teor. Fiz. 51, 1535 (1967) [Sov. Phys. JETP 24, 1035 (1967)].Google Scholar
  12. 12.
    I. O. Kulik and I. K. Yanson, The Josephson Effect in Superconductive Tunneling Structures (Nauka, Moscow, 1970; Israel Program for Scientific Translations, Jerusalem, 1972).Google Scholar
  13. 13.
    D. H. Huertas-Hernando, Yu. V. Nazarov, and W. Belzig, Phys. Rev. Lett. 88, 047003 (2002).Google Scholar
  14. 14.
    A. A. Abrikosov, Fundamentals of the Theory of Metals (Nauka, Moscow, 1987; North-Holland, Amsterdam, 1988).Google Scholar
  15. 15.
    Ya. V. Fominov, N. M. Chtchelkatchev, and A. A. Golubov, cond-mat/0202280.Google Scholar
  16. 16.
    A. V. Zaitsev, Zh. Éksp. Teor. Fiz. 86, 1742 (1984) [Sov. Phys. JETP 59, 1015 (1984)].Google Scholar
  17. 17.
    Yu. V. Nazarov, Superlattices Microstruct. 25, 1221 (1999).ADSGoogle Scholar
  18. 18.
    M. Yu. Kupriyanov and V. F. Lukichev, Zh. Éksp. Teor. Fiz. 94, 139 (1988) [Sov. Phys. JETP 67, 1163 (1988)].Google Scholar
  19. 19.
    W. Belzig, F. K. Wilhelm, C. Bruder, et al., Superlattices Microstruct. 25, 1251 (1999).ADSGoogle Scholar
  20. 20.
    C. W. J. Beenakker, Phys. Rev. Lett. 67, 3836 (1991).CrossRefADSGoogle Scholar
  21. 21.
    I. S. Gradshteyn and I. M. Ryzhik, Table of Integrals, Series, and Products (Nauka, Moscow, 1971; Academic, New York, 1980).Google Scholar
  22. 22.
    Yu. V. Nazarov, Phys. Rev. Lett. 73, 134 (1994).ADSGoogle Scholar
  23. 23.
    O. N. Dorokhov, Solid State Commun. 51, 381 (1984).CrossRefGoogle Scholar

Copyright information

© MAIK "Nauka/Interperiodica" 2002

Authors and Affiliations

  • N. M. Chtchelkatchev
    • 2
  • W. Belzig
    • 1
  • C. Bruder
    • 1
  1. 1.Departement Physik und AstronomieUniversität BaselBaselSwitzerland
  2. 2.Landau Institute for Theoretical PhysicsRussian Academy of SciencesMoscowRussia

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