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arXiv · hep-lat/9301013

Landau, Abrikosov, Hofstadter: Magnetic Flux Penetration in a Lattice Superconductor

David J. E. Callaway
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Abstract

Magnetic flux penetration in superconductors involves a rich variety of subtle phenomena, much of which is still poorly understood. Here these complexities are studied by formulating the Ginzburg-Landau equations as a lattice gauge theory. Their solutions are compared and contrasted with the (heuristic) Landau model of type I superconductivity, and the (perturbative) Abrikosov model for type II superconductors. Novelties arise as the continuum limit is approached, related to an effect discovered by Hofstadter. Various cautionary remarks pertinent to large-scale simulations are made.

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BibTeXRIS

David J. E. Callaway. 1993-01-21. Landau, Abrikosov, Hofstadter: Magnetic Flux Penetration in a Lattice Superconductor. https://doi.org/10.1006/aphy.1993.1045

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