Abstract
A phenomenological theory is presented giving an account of the pinning effect which occurs when vortex motion in a superconducting film is hindered by inhomogeneities of the material. In particular, the theory incorporates the interaction (pinning) potential between a vortex and the material defects, as well as long wavelength distortion of the vortex lattice. A recent observation of quantum interference effects of a moving vortex lattice can be explained successfully. It is shown how the pinning potential and the elastic constants can be obtained from experiment.
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References
A. T. Fiory,Phys. Rev. Letters 27, 501 (1971).
A. A. Abrikosov,Zh. Eksperim. i Teor. Fiz. 32, 1442 (1957) [English transl.,Soviet Phys.—JETP 5, 1174 (1957)]; W. H. Kleiner, L. M. Roth, and S. H. Autler,Phys. Rev. 133A, 1226 (1964); H. Träuble and U. Essmann,Phys. Stat. Solidi 25, 373 (1968).
Y. B. Kim and M. J. Stephen, inSuperconductivity, R. D. Parks, ed. (Marcel Dekker, New York, 1969), Vol. 2, Chap. 19.
B. D. Josephson, inSuperconductivity, R. D. Parks, ed. (Marcel Dekker, New York, 1969), Vol. 1, Chap. 9.
J. R. Waldram, A. B. Pippard, and J. Clarke,Phil. Trans. Roy. Soc. London A268, 265 (1970).
A. T. Fiory,Interference Effects in a Superconducting Aluminium Film, Vortex Structure and Interactions, preprint.
K. Yamafuji and F. Irie,Phys. Letters 25A, 387 (1967).
Ref. 7; see also J. Lowell,J. Phys. C 3, 712 (1970).
A. L. Fetter and P. C. Hohenberg,Phys. Rev. 159, A330 (1967).
J. Bardeen and M. J. Stephen,Phys. Rev. 149, A1197 (1965).
For a recent review, see A. M. Campbell and J. E. Evetts,Adv. Phys. 21, 199 (1972).
A. Schmid,Phys. Kond. Materie 5, 302 (1966).
L. P. Gor'kov and G. M. Eliashberg,Zh. Eksperim. i Teor. Fiz. 54, 612 (1968) [English transl.,Soviet Phys.—JETP 27, 328 (1968)].
A. I. Larkin and Yu. N. Ovchinnikov,Zh. Eksperim. i Teor. Fiz. 61, 1221 (1971) [English transl.,Soviet Phys.—JETP 34, 651 (1972)].
R. Labusch,Phys. Stat. Solidi 19, 715 (1967);32, 439 (1969); E. H. Brandt,Phys. Stat. Solidi 35, 1027 (1969); see also A. L. Fetter, P. C. Hohenberg, and P. Pincus,Phys. Rev. 147, A140 (1966).
E. Conen and A. Schmid,Properties of a Superconducting Thin Film in a Perpendicular Magnetic Field, to be published.
See, for instance,The Feynman Lectures on Physics (Addison-Wesley, New York, 1964), Vol. II, Chap. 19–14.
Y. Simon and P. Thorel,Phys. Letters 35A, 450 (1971).
B. Obst,Phys. Stat. Solidi b45, 467 (1971).
A. T. Fiory and B. Serin,Phys. Rev. Letters 21, 359 (1968).
N. N. Bogoliubov and J. A. Mitropolski,Asymptatische Methoden in der Theorie der nichtlinearen Schwingungen (Akademie-Verlag, Berlin, 1965).
E. Kamke,Differentialgleichungen I (Akademische Verlagsgesellschaft, Leipzig, 1967).
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Schmid, A., Hauger, W. On the theory of vortex motion in an inhomogeneous superconducting film. J Low Temp Phys 11, 667–685 (1973). https://doi.org/10.1007/BF00654452
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DOI: https://doi.org/10.1007/BF00654452