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arxiv: 1110.5987 · v1 · pith:3TAVJBS2new · submitted 2011-10-27 · 🧮 math-ph · math.MP

Abrikosov Vortex Lattices at Weak Magnetic Fields

classification 🧮 math-ph math.MP
keywords magneticabrikosovfieldsvortexclosecriticaldimensionsequations
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We prove existence of Abrikosov vortex lattice solutions of the Ginzburg-Landau equations in two dimensions, for magnetic fields larger than but close to the first critical magnetic field.

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