Renormalization-group analysis of weak collective pinning in type-ii superconductors

Physical Review B - Condensed Matter and Materials Physics

Volumn 59, Issue 17, 1999, Pages 11551-11562

  Blatter, G ^a  

^a ETH ZURICH   (Switzerland)

^b LANDAU INSTITUTE FOR THEORETICAL PHYSICS   (Russian Federation)

Author keywords

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Indexed keywords

EID: 0012439082     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.59.11551     Document Type: Article

References (29)

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17. To further illustrate this subtle point consider for instance an elastic string in the (Formula presented) plane and subject to a disorder potential (Formula presented) with short-range correlations. Assume that the string is in its optimal configuration and is aligned with the x axis. Obviously, if we try to deform the elastic line in the y direction, there will be some (pinning) force resisting this pulling. However, if we move the (continuous) string along its “way” parallel to the x axis, it does not experience a new potential and is thus not pinned. To ensure pinning in the x direction, we have to make the random potential (Formula presented) dependent on an additional degree of freedom, say (Formula presented) and assume that (Formula presented) is totally uncorrelated in this new dimension, so that the elastic string sees a different disorder upon motion. Correspondingly, the three-dimensional vortex system, when viewed as an elastic manifold, has to live in five dimensions to experience a new potential when displaced in the (Formula presented) plane.
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25. Cf. Chaps. 9 and 10 of Ref. 21 for a similar discussion for the (Formula presented) theory.
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