Order Parameter and Magnetic Field of a Vortex Line Pinned at a Point Defect: Ginzburg-Landau Theory

Details Order Parameter and Magnetic Field of a Vortex Line Pinned at a Point Defect: Ginzburg-Landau Theory Order Parameter and Magnetic Field of a Vortex Line Pinned at a Point Defect: Ginzburg-Landau Theory

1997-11-13

arxiv.org/abs/cond-mat/9711128v1

Physics

Condensed Matter

Superconductivity

5 pages LaTeX, 1 EPS figure, to be published in PRB, Jan. 1998

Scientific paper

10.1103/PhysRevB.57.2709

Recent theoretical work has derived the correct form of the Ginzburg-Landau differential equations, for the superconducting order parameter and vector potential, in the presence of a small defect. Here, these equations are applied to the case of a single vortex line pinned on such a defect. We develop the coupled set of partial differential equations, and show how to derive analytic solutions for the order parameter and magnetic field perturbations in the region of space near the defect. Certain properties of the unperturbed vortex solution are needed to totally specify our result; these are evaluated numerically, and compared with those deduced from Clem's approximate solution.

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