Physics – Condensed Matter – Superconductivity
Scientific paper
1997-04-29
Physics
Condensed Matter
Superconductivity
43 pages RevTex ms and four postscript figures. To appear in Journal of Computational Physics
Scientific paper
10.1006/jcph.1997.5739
We present a method to compute the magnetic moment of a bulk, finite-size, three-dimensional, anisotropic superconductor. Our numerically implemented perturbative procedure is based on a solution of the nonlinear Maxwell- London equations, where we include the nonlinear relation between current and gauge invariant velocity. The method exploits the small ratio of penetration depth to sample size. We show how to treat the open boundary conditions over an infinite domain and the continuity requirement at the interface. We demonstrate how our method substantially reduces the computational work required and discuss its implementation to an oblate spheroid. The numerical solution is obtained from a finite difference method. We briefly discuss the relevance of this work to similar problems in other fields.
Valls Oriol T.
Žutić Igor
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