Vortex pinning by a columnar defect in planar superconductors with point disorder

Details Vortex pinning by a columnar defect in planar superconductors with point disorder Vortex pinning by a columnar defect in planar superconductors with point disorder

2004-09-20

arxiv.org/abs/cond-mat/0409520v2

Phys. Rev. B 71, 014511 (2005)

Physics

Condensed Matter

Disordered Systems and Neural Networks

12 pages, 5 figures, minor typos corrected, a new reference added

Scientific paper

10.1103/PhysRevB.71.014511

We study the effect of a single columnar pin on a $(1+1)$ dimensional array of vortex lines in planar type II superconductors in the presence of point disorder. In large samples, the pinning is most effective right at the temperature of the vortex glass transition. In particular, there is a pronounced maximum in the number of vortices which are prevented from tilting by the columnar defect in a weak transverse magnetic field. Using renormalization group techniques we show that the columnar pin is irrelevant at long length scales both above and below the transition, but due to very different mechanisms. This behavior differs from the disorder-free case, where the pin is relevant in the low temperature phase. Solutions of the renormalization equations in the different regimes allow a discussion of the crossover between the pure and disordered cases. We also compute density oscillations around the columnar pin and the response of these oscillations to a weak transverse magnetic field.

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