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abrikosov vortex lattices

Mathematical Modelling of Natural Phenomena (1)

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On Abrikosov Lattice Solutions of the Ginzburg-LandauEquation
T. Tzaneteas, I.M. Sigal
Journal:

Mathematical Modelling of Natural Phenomena / Volume 8 / Issue 5 / 2013

Published online by Cambridge University Press:

17 September 2013, pp. 190-205

Print publication:

2013
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Building on earlier work, we have given in [29] aproof of existence of Abrikosov vortex lattices in the Ginzburg-Landau model ofsuperconductivity and shown that the triangular lattice gives the lowest energy perlattice cell. After [29] was published, we realizedthat it proves a stronger result than was stated there. This result is recorded in thepresent paper. The proofs remain the same as in [29], apart from some streamlining.