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Journal of Low Temperature Physics

, Volume 62, Issue 3–4, pp 345–373 | Cite as

Coulomb blockade of single-electron tunneling, and coherent oscillations in small tunnel junctions

  • D. V. Averin
  • K. K. Likharev
Article

Abstract

A microscopic approach to the theory of small, current-biased tunnel junctions is developed. This approach yields a natural account of the “secondary” quantization of both the single-electron (quasiparticle) and Cooper-pair (Josephson) current components. The theory shows that the current of the single electrons is blocked by their Coulomb interaction at low temperatures within a considerable range of the junction voltage. As a result of the blockade, coherent oscillations of the voltage can arise even in the absence of Josephson coupling, e.g., for single-electron tunneling (SET) between normal metal electrodes. The most significant features of these “SET” oscillations and their coexistence with Bloch oscillations in Josephson junctions are studied in detail. Prospects of experimental verification of the predicted effects and of their possible applications are discussed.

Keywords

Coulomb Interaction Experimental Verification Single Electron Metal Electrode Josephson Junction 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. 1.
    A. I. Larkin, K. K. Likharev, and Yu. N. Ovchinnikov,Physica 126B + C, 414 (1984).Google Scholar
  2. 2.
    K. K. Likharev and A. B. Zorin, Preprint 7/1984, Department of Physics, Moscow State University (1984); inProceedings of the 17th International Conference on Low Temperature Physics, U. Eckern, A. Schmid, W. Weber, and H. Wühl, eds. (North-Holland, Amsterdam, 1984), p. 1153;IEEE Trans. Magn. 21, 943 (1985).Google Scholar
  3. 3.
    D. V. Averin, A. B. Zorin, and K. K. Likharev,Zh. Teor. Eksp. Fiz. 88, 697 (1985) [Sov. Phys. JETP, to be published].Google Scholar
  4. 4.
    K. K. Likharev and A. B. Zorin,J. Low Temp. Phys. 59, 347 (1985).Google Scholar
  5. 5.
    K. K. Likharev,Dynamics of Josephson Junctions and Circuits (Gordon and Breach, New York, 1985).Google Scholar
  6. 6.
    D. V. Averin and K. K. Likharev, Preprint 23/1985, Department of Physics, Moscow State University (1985); in:SQUID '85, H.-D. Hahlbohm and H. Lübbig, eds. (W. de Gruyter, Berlin, to be published).Google Scholar
  7. 7.
    E. Ben-Jacob and Y. Gefen,Phys. Lett. 108A, 289 (1985).Google Scholar
  8. 8.
    P. W. Anderson, inLectures on the Many-Body Problem, E. R. Caianiello, ed. (Academic Press, New York, 1964), Vol. 2, p. 113.Google Scholar
  9. 9.
    M. H. Cohen, L. M. Falicov, and J. C. Phillips,Phys. Rev. Lett. 8, 316 (1962).Google Scholar
  10. 10.
    K. K. Likharev,Rev. Mod. Phys. 51, 101 (1979).Google Scholar
  11. 11.
    N. R. Werthamer,Phys. Rev. 147, 255 (1966).Google Scholar
  12. 12.
    A. I. Larkin and Yu. N. Ovchinnikov,Zh. Eksp. Teor. Fiz. 51, 1535 (1966) [Sov. Phys. JETP 24, 1035 (1967)].Google Scholar
  13. 13.
    A. I. Larkin and Yu. N. Ovchinnikov,Zh. Eksp. Teor. Fiz. 53, 2159 (1967) [Sov. Phys. JETP 26, 1219 (1968)].Google Scholar
  14. 14.
    D. Rogovin and D. J. Scalapino,Ann. Phys. 86, 1 (1974).Google Scholar
  15. 15.
    H. B. Callen and T. E. Welton,Phys. Rev. 83, 34 (1951).Google Scholar
  16. 16.
    U. K. Poulsen,Rev. Phys. Appl. 9, 41 (1974).Google Scholar
  17. 17.
    A. Schmid,Phys. Rev. Lett. 51, 1506 (1983).Google Scholar
  18. 18.
    R. L. Stratonovich,Selected Topics in the Theory of Random Noise (Gordon and Breach, New York, 1967).Google Scholar
  19. 19.
    J. Lambe and S. L. McCarthy,Phys. Rev. Lett. 37, 923 (1976).Google Scholar
  20. 20.
    D. Hone, B. Mühlschlegel, and D. J. Scalapino,Appl. Phys. Lett. 33, 203 (1978).Google Scholar
  21. 21.
    W. D. Gregory, L. Leopold, D. Repici, and J. Bostock,Phys. Lett. 29A, 13;30A, 507 (1969).Google Scholar
  22. 22.
    A. A. Fife and S. Gygax,Appl. Phys. Lett. 20, 152 (1972);Bull. Am. Phys. Soc. 17, 23 (1972).Google Scholar
  23. 23.
    R. E. Harris,Bull. Am. Phys. Soc. 17, 45 (1972).Google Scholar
  24. 24.
    T.-L. Ho,Phys. Rev. Lett. 51, 2060 (1983).Google Scholar
  25. 25.
    E. Ben-Jacob, E. Motolla, and G. Schön,Phys. Rev. Lett. 51, 2064 (1983).Google Scholar
  26. 26.
    I. Giaever and H. R. Zeller,Phys. Rev. Lett. 20, 1504 (1968).Google Scholar
  27. 27.
    H. R. Zeller and I. Giaever,Phys. Rev. 181, 789 (1969).Google Scholar
  28. 28.
    J. Lambe and R. C. Jaklevic,Phys. Rev. Lett. 22, 1371 (1969).Google Scholar
  29. 29.
    I. O. Kulik and R. I. Shekhter,Zh. Eksp. Teor. Fiz. 68, 623 (1975); [Sov. Phys. JETP,41 (1976)].Google Scholar
  30. 30.
    M. A. Lampert and P. Mark,Current Injection in Solids (Academic Press, New York, 1970).Google Scholar
  31. 31.
    B. Ricco' and M. Ya. Asbel,Phys. Rev. B,29, 1970 (1984).Google Scholar

Copyright information

© Plenum Publishing Corporation 1986

Authors and Affiliations

  • D. V. Averin
    • 1
  • K. K. Likharev
    • 1
  1. 1.Department of PhysicsMoscow State UniversityMoscowUSSR

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