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On Abrikosov Lattice Solutions of the Ginzburg-Landau Equations
Authors:Ilias Chenn  Panayotis Smyrnelis  Israel Michael Sigal
Affiliation:1.Department of Mathematics,University of Toronto,Toronto,Canada;2.Centro de Modelamiento Matemático (UMI 2807 CNRS),Universidad de Chile,Santiago,Chile
Abstract:We prove existence of Abrikosov vortex lattice solutions of the Ginzburg-Landau equations of superconductivity, with multiple magnetic flux quanta per fundamental cell. We also revisit the existence proof for the Abrikosov vortex lattices, streamlining some arguments and providing some essential details missing in earlier proofs for a single magnetic flux quantum per a fundamental cell.
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