Abstract
We have investigated in detail the influence of a small perpendicular field on the observation of the superconducting phase transition of Josephson-tunnel junction arrays with linear and nonlinear resistance measurements. We find that even a small residual field strongly enhances the crossing of single vortices. In the linear resistance these single-vortex processes dominate over the pairunbinding effects just above and below the Kosterlitz-Thouless temperature. Also, through single-vortex processes, the jump in the nonlinear resistance exponent can be washed out in a field, depending on the cell size and the array width.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Proceedings of the Nato Advanced Research Workshop on Coherence in Superconducting Networks, Delft, 1987Physica B 152, 1–302 (1988).
J. M. Kosterlitz and D. J. Thouless,J. Phys. C 6, 1181 (1973).
D. J. Resnick, J. C. Garland, T. T. Boyd, S. Shoemaker, and R. S. Newrock,Phys. Rev. Lett. 47, 1542 (1981).
D. W. Abraham, C. J. Lobb, M. Tinkham, and T. M. Klapwijk,Phys. Rev. B 26, 5268 (1982).
M. Tinkham, D. W. Abraham, and C. J. Lobb,Phys. Rev. B 28, 6578 (1983).
D. Kimhi, F. Leyvraz, and D. Ariosa,Phys. Rev. B 29, 1487 (1984).
R. K. Brown and J. C. Garland,Phys. Rev. B 33, 7827 (1986).
C. Leemann, P. Lerch, G. A. Racine, and P. Martinoli,Phys. Rev. Lett. 56, 1291 (1986).
J. P. Carini,Phys. Rev. B 38, 63 (1988).
R. F. Voss and R. A. Webb,Phys. Rev. B 25, 3446 (1982). R. A. Webb, R. F. Voss, G. Grinstein, and P. M. Horn,Phys. Rev. Lett. 51, 690 (1983).
J. M. Gordon, A. M. Goldman, M. Bhushan, and R. H. Cantor,Jpn. J. Appl. Phys. 26–3, 1425 (1987).
B. J. van Wees, H. S. J. van der Zant, and J. E. Mooij,Phys. Rev. B 35, 7291 (1987). H. S. J. van der Zant, C. J. Muller, H. A. Rijken, B. J. van Wees, and J. E. Mooij,Physica B 152, 56 (1988).
M. R. Beasley, J. E. Mooij, and T. P. Orlando,Phys. Rev. Lett. 42, 1165 (1979).
J. E. Mooij, inPercolation, Localization, and Superconductivity, A. M. Goldman and S. A. Wolf, eds. (Plenum, New York, 1983), p. 325.
A. F. Hebard and A. T. Fiory,Phys. Rev. Lett. 50, 1603 (1983). A. T. Fiory, A. F. Hebard and W. I. Glaberson,Phys. Rev. B 28, 5075 (1983).
A. M. Kadin, K. Epstein, and A. M. Goldman,Phys. Rev. B 27, 6691 (1983).
K. E. Gray, J. Brorson, and P. A. Bancel,J. Low Temp. Phys. 59, 529, (1985).
J. C. Garland and H. J. Lee,Phys. Rev. B 36, 3638 (1987).
C. J. Lobb, D. W. Abraham, and M. Tinkham,Phys. Rev. B 27, 150 (1983).
B. J. van Wees, L. E. M. de Groot, K. L. Hagemans, J. Kortlandt, and J. E. Mooij, inMicrocircuit Engineering 84, A. Heuberger and H. Beneking, eds. (Academic Press, London, 1985), p. 257.
M. Tinkham,Introduction to Superconductivity (McGraw-Hill, New York, 1975), chap. 5.
B. I. Halperin and D. R. Nelson,J. Low Temp. Phys. 36, 599 (1979).
V. Ambegoakar and B. I. Halperin,Phys. Rev. Lett. 22, 1364 (1969).
D. R. Nelson and J. R. Kosterlitz,Phys. Rev. Lett. 39, 1201 (1977).
D. S. Fisher,Phys. Rev. B 22, 1190 (1980).
H. S. J. van der Zant, B. J. van Wees, C. J. Muller, H. A. Rijken, and J. E. Mooij,Jpn. J. Appl. Phys. 26–3, 1763 (1987).
B. B. Goodman and J. Matricon,J. Phys. (Paris)27, C3–39 (1966).
L. G. Aslamazov and A. I. Larkin,Phys. Lett. 26A, 238 (1968).
P. Minnhagen,Phys. Rev. B 24, 6758 (1981).
P. Minnhagen,Rev. Mod. Phys. 59, 1001 (1987).
S. Teitel and C. Jayaprakash,Phys. Rev. B 27, 598 (1983).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
van der Zant, H.S.J., Rijken, H.A. & Mooij, J.E. The superconducting transition of 2-D Josephson-junction arrays in a small perpendicular magnetic field. J Low Temp Phys 79, 289–310 (1990). https://doi.org/10.1007/BF00682288
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF00682288