Abstract
The consequences of a vortex unbinding picture of two-dimensional superconductivity are worked out. Although there is no true finite-temperature phase transition, dirty superconducting films should display anomalous behavior below the BCS transition temperature and above an effective Kosterlitz-Thouless vortex unbinding temperature. In particular, both the conductivity and fluctuation diamagnetism behave like ξ 2+ in this regime, where ξ+ is the correlation length calculated by Kosterlitz, ξ+-ξ c exp (B/T − T c)1/2. We estimate ξc, B, and the vortex unbinding temperature, and determine the nonlinear resistivity below T c. A recent theory of vortex dynamics, together with a time-dependent Ginzburg-Landau theory, lead to a determination of the frequency-dependent conductivity.
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References
P. W. Anderson, Rev. Mod. Phys. 38, 298 (1966).
Y. B. Kim and M. J. Stephen in Superconductivity, R. D. Park, ed. (Marcel Dekker, New York, 1969), Chapter 19.
J. M. Kosterlitz and D. J. Thouless, J. Phys. C 6, 1181 (1973).
D. R. Nelson and J. M. Kosterlitz, Phys. Rev. Lett. 39, 1201 (1977).
J. M. Kosterlitz, J. Phys. C 7, 1046 (1974).
P. W. Anderson and G. Yuval, J. Phys. C 4, 607 (1971).
J. S. Langer and J. D. Reppy, Prog. Low Temp. Phys. 6, 1 (1970).
V. Ambegaokar, B. I. Halperin, D. R. Nelson, and E. D. Siggia, Phys. Rev. Lett. 40, 783 (1978); and manuscript in preparation.
B. A. Huberman, R. J. Meyerson, and S. Doniach, Phys. Rev. Lett. 40, 780 (1978).
R. J. Meyerson, Phys. Rev. B 18, 3204 (1978).
J. Pearl, Appl. Phys. Lett. 5, 65 (1964); in Low Temperature Physics LT9, J. G. Daunt, D. O. Edwards, F. J. Milford, and M. Yaqub, eds. (Plenum Press, New York, 1965), p. 566.
W. J. Skocpol and M. Tinkham, Rep. Prog. Phys. 38, 1049 (1975).
L. G. Aslamasov and A. I. Larkin, Phys. Lett. 26A, 238 (1968).
M. R. Beasley, J. E. Mooij, and T. P. Orlando, Phys. Rev. Lett. 42, 1165 (1979); and private communication.
B. D. Josephson, Phys. Lett. 1, 251 (1962); Advan. Phys. 14, 419 (1965).
S. Marčelja, Phys. Lett. 28A, 180 (1968).
L. P. Kadanoff and G. Laramore, Phys. Rev. 175, 579 (1968).
J. P. McCauley, J. Phys. C 10, 689 (1977).
J. S. Langer and V. Ambegaokar, Phys. Rev. 164, 498 (1967); D. E. McCumber and B. I. Halperin, Phys. Rev. B 1, 1054 (1977); J. R. Tucker and B. I. Halperin, Phys. Rev. B 3, 3768 (1971).
M. Cyrot, Rep. Prog. Phys. 36, 103 (1973), and references therein.
V. Ambegaokar and S. Teitel, Phys. Rev. B 19, 1667 (1979).
H. J. Mikeska and H. Schmidt, J. Low Temp. Phys. 2, 371 (1970).
A. N. Berker and D. R. Nelson, Phys. Rev. B 19, 2488 (1979).
B. I. Halperin and D. R. Nelson, Phys. Rev. Lett. 41, 131 (1978); Phys. Rev. E 41, 519 (1978); D. R. Nelson and B. I. Halperin, Phys. Rev. B 19, 2457 (1979).
D. R. Nelson, Phys. Rev. B 18, 2318 (1978).
S. Doniach and B. A. Huberman, Phys. Rev. Lett. 42, 1169 (1979).
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This work was supported by the National Science Foundation under Grant No. DMR 77-10210.
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Halperin, B.I., Nelson, D.R. Resistive transition in superconducting films. J Low Temp Phys 36, 599–616 (1979). https://doi.org/10.1007/BF00116988
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DOI: https://doi.org/10.1007/BF00116988