Geodesic
Study of an equation for Abrikosov vortex pinning on a linear defect in a superconducting slab
Matematičeskoe modelirovanie, Tome 26 (2014) no. 1, pp. 33-41

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An equation for a bound state of an Abrikosov vortex on a pinning on linear defect in a thin superconducting slab in the presence of a transport current has been studied. An analytical analysis of the corresponding boundary problem has been performed, a critical current density resulting to vortex depinning is estimated. The form of an elastic vortex string is calculated, the instability threshold for a bound state with increasing current, which leads to the string depinning, is found using numerical simulation. The results agree qualitatively with experimental data for high temperature superconductors.
Keywords: superconductor, analysis of a pinning equation, depinning, critical current, numerical simulation.
Mots-clés : Abrikosov vortices 
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     author = {V. A. Fedirko and S. V. Polyakov and A. L. Kasatkin},
     title = {Study of an equation for {Abrikosov} vortex pinning on a linear defect in a superconducting slab},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {33--41},
     publisher = {mathdoc},
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     number = {1},
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     url = {http://geodesic.mathdoc.fr/item/MM_2014_26_1_a2/}
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V. A. Fedirko; S. V. Polyakov; A. L. Kasatkin. Study of an equation for Abrikosov vortex pinning on a linear defect in a superconducting slab. Matematičeskoe modelirovanie, Tome 26 (2014) no. 1, pp. 33-41. http://geodesic.mathdoc.fr/item/MM_2014_26_1_a2/