Vortex pinning by meandering line defects in planar superconductors

Details Vortex pinning by meandering line defects in planar superconductors Vortex pinning by meandering line defects in planar superconductors

2006-02-07

arxiv.org/abs/cond-mat/0602193v2

Physics

Condensed Matter

Statistical Mechanics

9 pages, 9 figures

Scientific paper

10.1103/PhysRevB.73.214503

To better understand vortex pinning in thin superconducting slabs, we study the interaction of a single fluctuating vortex filament with a curved line defect in (1+1) dimensions. This problem is also relevant to the interaction of scratches with wandering step edges in vicinal surfaces. The equilibrium probability density for a fluctuating line attracted to a particular fixed defect trajectory is derived analytically by mapping the problem to a straight line defect in the presence of a space and time-varying external tilt field. The consequences of both rapid and slow changes in the frozen defect trajectory, as well as finite size effects are discussed. A sudden change in the defect direction leads to a delocalization transition, accompanied by a divergence in the trapping length, near a critical angle.

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