Abstract
We investigate the dynamics and the phase diagram of Josephson junctions where the dissipation is due to quasiparticle tunneling. This system is formally equivalent to a one-dimensional X-Y model with easy axis and long-range interaction. It has a phase transition at a critical strength of the dissipation, which differs in several respects from the one encountered if the dissipation is Ohmic. Quantum effects are reduced, though not destroyed, above this transition. We discuss the response of a junction to an imposed current. In the linear regime Coulomb blockade is important; in the nonlinear regime under suitable conditions Bloch oscillations can occur.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
R. F. Voss and R. A. Webb,Phys. Rev. Lett. 47, 647 (1981); J. M. Martinis, M. H. Devoret, and J. Clarke,Phys. Rev. Lett. 55, 1543 (1985).
I. Giaever and H. R. Zeller,Phys. Rev. 181, 789 (1969); R. E. Cavicchi and R. H. Silsbee,Phys. Rev. Lett. 52, 1453 (1984).
A. O. Caldeira and A. J. Leggett,Ann. Phys. (N.Y.)149, 347 (1983).
V. Ambegaokar, U. Eckern, and G. Schön,Phys. Rev. Lett. 48, 1745 (1982); U. Eckern, G. Schön, and V. Ambegaokar,Phys. Rev. B 30, 6419 (1984).
A. Widom, G. Megaloudis, T. D. Clark, H. Prance, and R. J. Prance,J. Phys. A 15, 3877 (1982).
K. K. Likharev and A. B. Zorin,J. Low Temp. Phys. 59, 347 (1985).
F. Guinea and G. Schön,Europhys. Lett. 1, 585 (1986); inFestkörperprobleme (Advances in Solid State Physics, Vol. 26), P. Grosse, ed. (Vieweg, 1986), p. 169.
D. V. Averin and K. K. Likharev,J. Low. Temp. Phys. 62, 345 (1986).
G. Schön, inSQUID 85—Superconducting Quantum Interference Devices and Their Applications, H. D. Hahlbohm and H. Lübbig, eds. (W. de Gruyter, Berlin, 1985); G. Schön,Phys. Rev. B 32, 4469 (1985).
B. D. Josephson,Phys. Lett. 21, 608 (1966).
V. Ambegaokar, inProceedings of the NATO ASI on Percolation, Localization and Superconductivity, Les Arcs 1983, A. M. Goldman and S. A. Wolf, eds. (Plenum Press, New York, 1984), p. 43.
J. M. Kosterlitz,Phys. Rev. lett. 37, 1577 (1976).
W. Zwerger, A. T. Dorsey, and M. P. A. Fisher,Phys. Rev. B 34, 6518 (1986).
V. J. Emery, inHighly Conducting One-Dimensional Solids, J. T. Devreeseet al., eds. (Plenum Press, New York, 1979); F. Guinea, V. Hakim, and A. Muramatsu,Phys. Rev. B 32, 4410 (1985).
F. J. Dyson,Commun. Math. Phys. 12, 91 (1969).
P. W. Anderson and G. Yuval,J. Phys. C 4, 607 (1971).
S. Chakravarty,Phys. Rev. Lett. 49, 681 (1982); A. J. Bray and M. A. Moore,Phys. Rev. Lett. 49, 1545 (1982).
A. Schmid,Phys. Rev. Lett. 51, 1506 (1983); S. A. Bulgadaev,Sov. Phys. JETP Lett. 39, 314 (1984); F. Guinea, V. Hakim, and A. Muramatsu,Phys. Rev. Lett. 54, 263 (1985); M. P. A. Fisher and W. Zwerger,Phys. Rev. B 32, 6190 (1985).
V. Hakim, F. Guinea, and A. Muramatsu,Phys. Rev. B 30, 464 (1984).
A. M. Polyakov,Phys. Lett. 59B 79 (1975).
S. R. Das and B. Sathiapalan,Phys. Rev. Lett. 57, 1511 (1986); L. Cosmai and G. Preparata,Phys. Rev. Lett. 57, 2613 (1986).
R. Rajaraman,Solitons and Instantons (North-Holland, Amsterdam, 1982).
E. Ben-Jacob, E. Mottola, and G. Schön,Phys. Rev. Lett. 51, 2064 (1983); G. Schön,Phys. Rev. B 32, 4469 (1985).
M. P. A. Fisher,Phys. Rev. Lett. 57, 885 (1986).
S. Chakravarty and A. J. Legget,Phys. Rev. Lett. 52, 5 (1984); H. Grabert and U. Weiss,Phys. Rev. Lett. 54, 1605 (1985); F. Guinea,Phys. Rev. B 32, 4486 (1985); A. J. Legget, S. Chakravarty, A. T. Dorsey, M. P. A. Fisher, A. Garg, and W. Zwerger,Rev. Mod. Phys. 59, 1 (1987).
E. Ben-Jacob and Y. Gefen,Phys. Lett. 108A, 289 (1985).
M. Büttiker,Physica Scripta T 14, 82 (1987).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Guinea, F., Schön, G. Dynamics and phase transitions of Josephson junctions with dissipation due to quasiparticle tunneling. J Low Temp Phys 69, 219–243 (1987). https://doi.org/10.1007/BF00682659
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00682659