Abstract
The problem of pinning of flux-lines by random inhomogeneities is discussed. The theory of collective pinning, which was established recently by Larkin and Ovchinnikov and has proven successful in weak-pinning amorphous alloys, is discussed in some detail. Then computer simulation of pinning is described and the results are discussed. They confirm collective pinning theory for weak two-dimensional pinning and modify it at strong pinning where the flux-line lattice becomes amorphous. The threshold-behaviour predicted by the “dilute limit theories” proves to be an artifact which is due to the non-existence of this limit in sufficiently large specimens.
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References
P.W. Anderson, Phys. Rev. Lett.,9, 309, 1962.
K. Yamafuji and F. Irie, Phys. Lett.,A25, 387, 1967.
R. Labusch, Cryst. Lattice Defects,1, 1, 1969.
A.M. Campbell and J.E. Evetts, Adv. Phys.,21, 199, 1972.
A. I. Larkin and Yu. N. Ovchinnikov, J. Low Temp. Phys.,34, 409, 1979.
E.H. Brandt, J. Low Temp. Phys.,53, 41 and 71; Phys. Rev. Lett.,50, 1599, 1983.
P.A. Lee and T.M. Rice, Phys. Rev.,B19, 3970, 1979.
P.H. Kes and C.C. Tsuei, Phys. Rev. Lett.,47, 1930, 1981; Phys. Rev.,B28, 5126, 1983.
E.H. Brandt, Phys. Rev. Lett., 56, 1381, 1986.
R. Wördenweber and P.H. Kes, Phys. Rev. B.,34, 494, 1986.
E.H. Brandt, Phys. Rev. Lett.,57, 1347, 1986.
E.H. Brandt, J. Low Temp. Phys.,64, 375, 1986.
H.R. Hilzinger, Phil. Mag.,36, 225, 1977.
E.H. Brandt, J. Low Temp. Phys.,26, 709, 735;28, 263, 291, 1977.
A. Seeger, Handbuch der Physik (Springer, Berlin, 1955, 1958), Vol. VII, 1, 1955, Vol. II, 2, 1958.
R. Schmucker, Phil. Mag.,35, 430, 1977.
S.J. Mullock and J.E. Evetts, J. Appl. Phys.,57, 2588, 1985.
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Brandt, E.H. Computer simulation of pinning in type-II superconductors and the theory of collective pinning. Acta Physica Hungarica 63, 177–185 (1988). https://doi.org/10.1007/BF03155771
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DOI: https://doi.org/10.1007/BF03155771