Few Remarks About Small Capacitance Josephson Junctions

  • A. Tagliacozzo
  • F. Ventriglia
Part of the NATO ASI Series book series (NSSB, volume 264)


For most purposes, the current voltage characteristic (I/V) of junctions with superconducting electrodes can be satisfactorily described by means of the so called Resistive Shunted Junction model (RSJ), just in terms of the dynamics of the classical variable φ. This is the difference in the phase of the order parameter between the two superconductors. Dissipation is phenomenologically included as an ohmic term in the equation of motion for φ, by means of a suitably defined resistance R.


Partition Function Josephson Junction Josephson Coupling Ohmic Dissipation TDGL Equation 


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  1. [1]
    A. J. Leggett in Percolation, localization and Superconductivity (ed. by A. M. Goldman and S. A. Wolf), Plenum, New York (1984)Google Scholar
  2. [2]
    A. O. Caldeira and Leggett, Ann. Phys. (NY) 153,445 (1984);CrossRefGoogle Scholar
  3. [2a]
    A. O. Caldeira and Leggett Erratum Ann.Phys.(NY) 153,445(1984)Google Scholar
  4. [2c]
    A.J.Leggett, Les Houches, XLVI, (1986), Elsevier Science Publ.; eds. J.Souletie,J.Vannimenus and R.Stora (1987) H.Grabert, P.Olschowski and U.Weiss, Phys.Rev.B36, 1931 (1987)Google Scholar
  5. [3]
    L. J. Geerligs, V. F. Anderegg, J. Romijn, J. E. Mooij, Phys.Rev.Lett.65,377 (1990)ADSCrossRefGoogle Scholar
  6. [4]
    M. Iansiti, A.T. Johnson, C. J. Lobb and M. Tinkham, Phys. Rev. Lett. 60, 2414 (1988),ADSCrossRefGoogle Scholar
  7. [4a]
    M. Iansiti, A.T. Johnson, C. J. Lobb and M. Tinkham, Phys. Rev. B40, 11370 (1989)ADSGoogle Scholar
  8. [5]
    M. Iansiti, M. Tinkham, A. T. Johnson, W. F. Smith, C. J. Lobb, Phys. Rev.B39, 6465 (1989)ADSGoogle Scholar
  9. [6]
    A. Schmid, Phys.Rev.Lett.51, 1506 (1983)ADSCrossRefGoogle Scholar
  10. [7]
    V. Ambegaokar, U. Eckern and G. Schön, Phys. Rev. Lett. 48,1745 (1982)ADSCrossRefGoogle Scholar
  11. [7a]
    U. Eckern, G. Schön and V. Ambegaokar, Phys.Rev. 30, 6419 (1984)ADSCrossRefGoogle Scholar
  12. [8]
    F. Guinea and G. Schön, J. Low. Temp.Phys. 69,219 (1987)ADSCrossRefGoogle Scholar
  13. [9]
    R. Jackiw, “Topological investigations of quantized gauge theories” in Les Houches, Session XL, (1983), B.S. De Witt and R. Stora eds., Elsevier Science Publ. B.V., 1984Google Scholar
  14. [10]
    A. Widom, G. Megaloudis, T. D. Clark, H. Prance, R. J. Prance, J.Phys. A15,3877 (1982)ADSGoogle Scholar
  15. [11]
    e.g. D.V. Averin, K. K. Likharev, J.Low Temp.Phys. 62,345 (1986);ADSCrossRefGoogle Scholar
  16. [11a]
    K. K. Likharev and A. B. Zorin, J.Low Temp.Phys. 59,347 (1985)ADSCrossRefGoogle Scholar
  17. 12.
    [] L. S. Schulman: “Techniques and applications of path integration”, Wiley, New York (1981), chapter 23MATHGoogle Scholar
  18. [13]
    W. Zwerger, A. T. Dorsey, M. P. A. Fisher, Phys.Rev. B34, 6518 (1986)ADSGoogle Scholar
  19. [14]
    D. Loss, K. Mullen, preprint (Urbana 1990)Google Scholar
  20. [15]
    A.Tagliacozzo, F.Ventriglia submitted to Phys.Lett.A Google Scholar
  21. [16]
    L. Kramer, A. Baratoff Phys.Rev.Lett 38,518 (1977)ADSCrossRefGoogle Scholar
  22. [17]
    G. Schön, V. Ambegaokar Phys.Rev.B19,3515 (1979)ADSGoogle Scholar
  23. [18]
    J. S. Langer, V. Ambegaokar Phys. Rev. 164,498 (1967)ADSCrossRefGoogle Scholar
  24. [18a]
    D. E. McCumber and B. I. Halperin, Phys.Rev. B1,1054 (1970)ADSGoogle Scholar
  25. [19]
    J. E. Mooij, G. Schön, Phys. Rev.Lett.55,114 (1985)ADSCrossRefGoogle Scholar
  26. [20]
    R.Rajaraman “Solitons and Instantons”, North Holland Publ. Co. Amsterdam (1982)Google Scholar
  27. [21]
    L. Jacobs and C. Rebbi, Phys.Rev.B19,4486 (1979)MathSciNetADSGoogle Scholar
  28. [22]
    A. Tagliacozzo in Proc. of NATO ASI “Applications of Statistical and Field Theory to Condensed Matter”,Evora, May 22 — June 2, 1989, ed.s D. Baeriswyl and A. Bishop, Plenum, New York, 1990.Google Scholar

Copyright information

© Plenum Press, New York 1991

Authors and Affiliations

  • A. Tagliacozzo
    • 1
  • F. Ventriglia
    • 1
  1. 1.Dipartimento di Scienze Fisiche, e G.N.S.M. (CNR)Università cli NapoliNapoliItaly

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