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

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

1993-01-21

arxiv.org/abs/hep-lat/9301013v1

Annals Phys. 224 (1993) 210-224

Physics

High Energy Physics

High Energy Physics - Lattice

Scientific paper

10.1006/aphy.1993.1045

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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