Abstract
Small tin particle arrays show a component of conductivity above the critical temperature that can be described by an Aslamasov-Larkin-type fluctuation-induced conductivity term Δσ0 in the zero-dimensional limit. A simple model is introduced to unfold experimental results for Δσ0 from experimental data. Those results show that it is proportional to l/(T−T c )2 over a broad temperature range, in agreement with theoretical predictions. Its absolute magnitude is difficult to measure precisely, but our estimate for it is of the same order of magnitude as the theoretical prediction. Other order-of-magnitude estimates show that Josephson coupling, thermal noise, and Maki term effects can be neglected forT−T c >20 mK.
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References
J. R. Miller and J. N. Pierce, Fluctuation Effects in the Complex Impedance of Superconducting Tin Whisker Filaments nearT c , to be published.
G. Deutscher and Y. Imry,Phys. Letters 42A, 413 (1973); G. Deutscher, Y. Imry, and L. Gunther, to be published.
R. J. Londergan and J. S. Langer,Phys. Rev. B 5, 5377 (1972).
P. K. Hansma,Solid State Commun. 13, 397 (1973).
P. K. Hansma and J. R. Kirtley, to be published inJ. Appl. Phys.
T. D. Clark and D. R. Tilley,Phys. Letters 28A, 62 (1968).
P. Pellan, G. Dousselan, H. Cortes, and J. Rossenblatt,Solid. State Commun. 11, 427 (1972).
L. G. Aslamasov and A. I. Larkin,Soviet Phys.—Solid State 10, 875 (1968).
K. Maki,Progr. Theoret. Phys. (Kyoto)39, 897 (1968).
E. Abrahams and J. W. F. Woo,Phys. Letters 27A, 117 (1968).
A. Schmid,Z. Physik 215, 210 (1968).
B. Mühlschlegel, D. J. Scalapino, and R. Denton,Phys. Rev. B 6, 1767 (1972).
B. R. Patton,Phys. Rev. Letters 27, 1273 (1971).
J. P. Hurault, K. Maki, and M. T. Beal-Monod,Phys. Rev. B 3, 762 (1971).
V. Ambegaokar and B. I. Halperin,Phys. Rev. Letters 22, 1364 (1969).
C. M. Falco, W. H. Parker, S. Trullinger, P. K. Hansma, to be published inPhys. Rev.
I. G. Naumanko and V. I. Petinov,Zh. Eksperim. i Teor. Fiz. Pisma 15, 464 (1972).
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Research supported by National Science Foundation Grant GH-37239.
On leave from Department of Physics and Astronomy, Tel Aviv University, Tel Aviv, Israel. Research supported by the U.S. Army Research Office, Durham, North Carolina.
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Kirtley, J., Imry, Y. & Hansma, P.K. Fluctuation-induced conductivity above the critical temperature in small-particle arrays. J Low Temp Phys 17, 247–254 (1974). https://doi.org/10.1007/BF00659072
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DOI: https://doi.org/10.1007/BF00659072