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arXiv · 1701.06076

On Abrikosov Lattice Solutions of the Ginzburg-Landau Equations

Li Chen·Panayotis Smyrnelis·Israel Michael Sigal
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Abstract

We prove existence of Abrikosov vortex lattice solutions of the Ginzburg-Landau equations of superconductivity, with multiple magnetic flux quanta per a 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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Li Chen, Panayotis Smyrnelis, Israel Michael Sigal. 2017-01-21. On Abrikosov Lattice Solutions of the Ginzburg-Landau Equations. https://arxiv.org/abs/1701.06076

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