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Bulk Solution of Ginzburg-Landau Equations for Type II Superconductors: Upper Critical Field Region

W. H. KleinerLincoln Laboratory, Massachusetts Institute of Technology, Lexington, MassachusettsLaura M. RothLincoln Laboratory, Massachusetts Institute of Technology, Lexington, MassachusettsS. H. AutlerLincoln Laboratory, Massachusetts Institute of Technology, Lexington, Massachusetts
1964en
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A solution is described of the Ginzburg---Landau equations of the Abrikosov type for a homogeneous type II superconductor just below the upper critical field. This solution is characterized by magnetic field maxima corresponding to an equilateral triangular lattice and a value $\ensuremath{\beta}=1.16$ of Abrikosov's parameter. Abrikosov's square-lattice solution with $\ensuremath{\beta}=1.18$ has a higher free energy and is unstable with respect to the triangular lattice solution.

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