Abstract
Quantum fluctuations of the phases of the order parameter in two-dimensional arrays of mesoscopic Josephson junctions and their effect on the destruction of superconductivity in the system are investigated by means of a quantum-cosine model that is free of the incorrect application of the phase operator. The proposed model employs trigonometric phase operators and makes it possible to study arrays of small superconducting granules, pores containing superfluid helium, or Josephson junctions in which the average number of particles n 0 (effective bosons, He atoms, and so on) is small, and the standard approach employing the phase operator and the particle number operator as conjugate operators is inapplicable. There is a large difference in the phase diagrams between arrays of macroscopic and mesoscopic objects for n 0<5 and U<J (U is the characteristic interaction energy of the particles per granule and J is the Josephson coupling constant). Re-entrant superconductivity phenomena are discussed.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
P. W. Anderson, in Lectures in The Many Body Problem, Vol. 2, edited by E. R. Caianiello, Academic Press, New York, 1964.
J. B. Kim and M. Y. Choi, Phys. Rev. B 52, 3624 (1997).
V. F. Gantmakher, V. M. Teplinskii, and V. N. Zverev, JETP Lett. 62, 887 (1995).
P. Lafarge, M. Matters, and J. E. Mooij, Phys. Rev. B 54, 7380 (1996).
M. C. Cha, M. P. A. Fisher, S. M. Girvin et al., Phys. Rev. B 44, 6883 (1991); M. P. A. Fisher and G. Grinstein, Phys. Rev. Lett. 60, 208 (1988); M. P. A. Fisher, P. B. Weichman, G. Grinstein, and D. S. Fisher, Phys. Rev. B 40, 546 (1989).
W. Krauth, N. Trivedi, and D. Ceperley, Phys. Rev. Lett. 67, 2703 (1991); W. Krauth and N. Trivedi, Europhys. Lett. 14, 627 (1991).
C. Bruder, R. Fazio, G. Schön et al., Phys. Scr. T42, 159 (1992).
A. I. Belousov, S. A. Verzakov, and Yu. E. Lozovik, Zh. Éksp. Teor. Fiz. 112 (1997), (in press) [JETP 85 (1997)].
A. L. Dobryakov, V. S. Letokhov, Yu. E. Lozovik et al., Appl. Phys. A 54, 100 (1992).
S. G. Akopov and Yu. E. Lozovik, J. Phys. C 15, 4403 (1982).
P. Carruthers and M. M. Nieto, Rev. Mod. Phys. 40, 411 (1968); R. Lynch, Phys. Rep. 256, 367 (1995).
W. H. Louisell, Phys. Lett. 7, 60 (1963); L. Susskind and J. Glogower, Physica 1, 49 (1964).
A. Blaer and J. Han, Phys. Rev. A 46, 3225 (1992).
P. Minnhagen, Rev. Mod. Phys. 59, 1001 (1987).
Yu. E. Lozovik and S. A. Verzakov, Phys. Lett. A (to be published).
S. L. Sondhi, S. M. Girvin et al., Rev. Mod. Phys. 69, 315 (1997).
A. I. Belousov and Yu. E. Lozovik, Fiz. Tverd. Tela (St. Petersburg) 39, 1513 (1997) [Phys. Solid State 39, 1345 (1997)].
Author information
Authors and Affiliations
Additional information
Pis’ma Zh. Éksp. Teor. Fiz. 66, No. 10, 649–654 (25 November 1997)