Abrikosov Lattice Solutions of the Ginzburg-Landau Equations
T. Tzaneteas, I. M. Sigal
TL;DR
This paper proves the existence of Abrikosov vortex lattice solutions within the Ginzburg-Landau model of superconductivity, extending previous foundational work in the field.
Contribution
It provides a rigorous proof of Abrikosov lattice solutions, advancing mathematical understanding of vortex arrangements in superconductors.
Findings
Existence of Abrikosov vortex lattices established.
Mathematical framework for vortex lattice solutions developed.
Builds on and extends prior foundational work.
Abstract
Building on the earlier work of Odeh, Barany, Golubitsky, Turski and Lasher we give a proof of existence of Abrikosov vortex lattices in the Ginzburg-Landau model of superconductivity.
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Taxonomy
TopicsPhysics of Superconductivity and Magnetism · Quantum chaos and dynamical systems · Advanced Mathematical Physics Problems