Abstract
We have investigated variable-thickness aluminum microbridges that are small with respect to coherence length and penetration depth. The critical current depends linearly on temperature and is proportional to the normal-state conductance, in agreement with theory. The voltage-carrying state shows an excess current of about 0.5I c over a large range of currents. Subharmonic energy gap structure is clearly present. The differential resistance observed corresponds with an effective length of about 2 µm, a value which is in agreement with three-dimensional diffusion for a diffusion length of 100 µm (this diffusion length is determined in experiments with long aluminum microstrips). An intrinsic upper frequency limit for the Josephson oscillation is not found. It is argued that the known relaxation times of the order parameter are not limiting. The results are in disagreement with the RSJπ model, introduced by Jensen and Lindelof. We also investigated tin microbridges and have found that at low temperatures, flux flow determines the voltage. The differences between the results on tin and aluminum microbridges seem to be due to the fact that in tin the bridge sizes are still too large with respect to coherence length and penetration depth.
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References
P. W. Anderson and A. H. Dayem,Phys. Rev. Lett. 13, 195 (1964).
H. A. Notarys and J. E. Mercereau,Physica 55, 424 (1971).
W. J. Skocpol, M. R. Beasley, and M. Tinkham,J. Low Temp. Phys. 16, 145 (1974).
P. G. de Gennes,Superconductivity of Metals and Alloys (Benjamin, New York, 1966).
L. G. Aslamazov and A. I. Larkin,JETP Lett. 9, 87 (1969).
V. Ambegaokar and A. Baratoff,Phys. Rev. Lett. 10, 486 (1963);11, 104 (1963).
P. V. Christiansen, E. B. Hansen, and C. J. Sjöström,J. Low Temp. Phys. 4, 349 (1971).
P. E. Gregers-Hansen, M. T. Levinsen, and G. Fog Pedersen,J. Low Temp. Phys. 7, 99 (1972).
T. M. Klapwijk and T. B. Veenstra,Phys. Lett. 47A, 351 (1974).
Proceedings of the Applied Superconductivity Conference, Argonne 1974, IEEEMAG11, 85–890 (1975).
J. E. Mooij and P. Dekker, private communication.
I. O. Kulik and A. N. Omel'yanchuk,Sov. Phys.—JETP 41, 1071 (1976).
A. Baratoff, J. A. Blackburn, and B. B. Schwartz,Phys. Rev. Lett. 24, 1096 (1970) 1738E.
L. D. Jackel, J. N. Warlaumont, T. D. Clark, J. C. Brown, R. A. Buhrman, and M. T. Levinsen,Appl. Phys. Lett. 28, 353 (1976).
Y. Song and G. I. Rochlin,Phys. Rev. Lett. 29, 416 (1972).
B. D. Josephson,Adv. Phys. 14, 419 (1965).
K. K. Likharev,Sov. Phys.—JETP 34, 906 (1972).
L. G. Aslamazov and A. I. Larkin,Sov. Phys.—JETP 41, 381 (1975).
B. S. Chandrasekhar, I. J. Dinewitz, and D. E. Farrell,Phys. Lett. 20, 321 (1966).
P. Tholfsen and H. Meissner,Phys. Rev. 185, 653 (1969).
J. P. Burger and D. Saint-James, inSuperconductivity, Vol. II, R. D. Parks, ed. (Dekker, New York, 1969), Chapter 16.
T. J. Rieger, D. J. Scalapino, and J. E. Mercereau,Phys. Rev. B 6, 1734 (1972).
K. K. Likharev and L. A. Yakobson,Sov. Phys.—JETP 41, 570 (1976).
A. B. Pippard, J. G. Shepherd, and D. A. Tindall,Proc. Roy. Soc. 324A, 17 (1971).
P. E. Gregers-Hansen, E. Hendricks, M. T. Levinsen, and G. Fog Pedersen, inProc. 1972 Appl. Superc. Conference (IEEE, New York, 1972), p. 597.
Proceedings of the International Conference on the Emission and Detection of Electromagnetic Radiation with Josephson Junctions, Perros-Guirec, France, 1973,Rev. Phys. Appl. 9, 1–314 (1974).
H. Højgaard-Jensen and P. E. Lindelof,J. Low Temp. Phys. 23, 469 (1976).
Y. Song,J. Appl. Phys. 47, 2651 (1976).
R. Y. Chiao, M. J. Feldman, H. Ohta, and P. T. Parrish,Rev. Phys. Appl. 9, 183 (1974).
J. E. Mooij, C. A. Gorter, and J. E. Noordam,Rev. Phys. Appl. 9, 173 (1974).
E. Fawcett, inThe Fermi Surface, Proceedings of an International Conference, Cooperstown, New York, 1960, W. A. Harrison and M. E. Webb, eds. (Wiley, New York, 1960), p. 201.
T. M. Klapwijk and J. E. Mooij,Phys. Lett. 57A, 97 (1976).
S. B. Kaplan, C. C. Chi, D. N. Langenberg, J. J. Chang, S. Jafarey, and D. J. Scalapino,Phys. Rev. B 14, 4854 (1976).
W. J. Skocpol, M. R. Beasley, and M. Tinkham,J. Appl. Phys. 45, 4054 (1974).
M. Strongin, O. F. Kammerer, and A. Paskin,Phys. Rev. Lett. 14, 949 (1965).
D. G. Naugle, R. E. Glover, and W. Moorman,Physica 55, 250 (1971).
L. D. Jackel, W. H. Henkels, J. M. Warlaumont, and R. A. Buhrman,Appl. Phys. Lett. 29, 214 (1976).
M. T. Levinsen,Appl. Phys. Lett. 24, 247 (1974).
L. E. Hasselberg, M. T. Levinsen, and M. R. Samuelsen,J. Low Temp. Phys. 21, 567 (1975).
A. F. G. Wyatt, inTunneling Phenomena in Solids, F. Burstein and S. Lundquist, eds. (Plenum, New York, 1969), p. 541.
J. Clarke,Phys. Rev. B 4, 2963 (1971).
J. G. Shepherd,Proc. R. Soc. London A 326, 421 (1972).
J. J. Hauser,Phys. Rev. B 10, 2792 (1974).
M. T. Jahn and Y. H. Kao,J. Low Temp. Phys. 13, 175 (1973).
B. S. Deaver, B. G. Boone, and R. Rifkin, preprint.
C. Guthmann, J. Maurer, M. Belin, J. Bok, and A. Libchaber,Phys. Rev. B 11, 1909 (1975).
A. Baratoff and L. Kramer, paper presented at the International Conference on Superconducting Quantum Devices, Berlin, October 5–8, 1976.
R. Peters and H. Meissner,Phys. Rev. Lett. 30, 965 (1973).
I. Schuller and K. E. Gray,Phys. Rev. Lett. 36, 429 (1976).
R. E. Harris,Phys. Rev. B 13, 3818 (1976).
F. J. Rachford, S. A. Wolf, M. Nisenoff, and C. Y. Huang,Phys. Rev. Lett. 35, 305 (1975).
T. D. Clark and P. E. Lindelof,Phys. Rev. Lett. 37, 368 (1976).
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Klapwijk, T.M., Sepers, M. & Mooij, J.E. Regimes in the behavior of superconducting microbridges. J Low Temp Phys 27, 801–835 (1977). https://doi.org/10.1007/BF00655709
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DOI: https://doi.org/10.1007/BF00655709