Math. Model. Nat. Phenom.
Volume 8, Number 5, 2013Bifurcations
|Page(s)||190 - 205|
|Published online||17 September 2013|
On Abrikosov Lattice Solutions of the Ginzburg-Landau Equation
Department of Mathematics, Aarhus University,
2 Dept. of Mathematics, Univ. of Toronto, Toronto, Canada, M5S 2E4
Building on earlier work, we have given in  a proof of existence of Abrikosov vortex lattices in the Ginzburg-Landau model of superconductivity and shown that the triangular lattice gives the lowest energy per lattice cell. After  was published, we realized that it proves a stronger result than was stated there. This result is recorded in the present paper. The proofs remain the same as in , apart from some streamlining.
Mathematics Subject Classification: 35Q56 / 35B32
Key words: magnetic vortices / superconductivity / Ginzburg-Landau equations / Abrikosov vortex lattices / bifurcation
© EDP Sciences, 2013
Initial download of the metrics may take a while.