On Abrikosov lattice solutions of the Ginzburg-Landau equations

DOI10.1007/s11040-017-9257-xzbMath1397.35293arXiv1701.06076OpenAlexW2963725945MaRDI QIDQ1664415

Ilias Chenn, Israel Michael Sigal, Panayotis Smyrnelis

Publication date: 27 August 2018

Published in: Mathematical Physics, Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1701.06076

zbMATH Keywords

bifurcationssuperconductivitymagnetic vorticesGinzburg-Landau equationsAbrikosov vortex lattices

Mathematics Subject Classification ID

Integration with respect to measures and other set functions (28A25) Statistical mechanics of superconductors (82D55) Bifurcations in context of PDEs (35B32) Ginzburg-Landau equations (35Q56)

Related Items (4)

Microscopic derivation of Ginzburg-Landau theory and the BCS critical temperature shift in general external fields ⋮ Microscopic derivation of Ginzburg-Landau theory and the BCS critical temperature shift in a weak homogeneous magnetic field ⋮ Vortex lattice solutions of the ZHK Chern–Simons equations ⋮ Ginzburg-Landau equations on Riemann surfaces of higher genus

Cites Work

• Abrikosov lattices in finite domains
• Vortices in the magnetic Ginzburg-Landau model
• Spectral methods in surface superconductivity
• Bifurcations with local gauge symmetries in the Ginzburg-Landau equations
• Lowest Landau level approach in superconductivity for the Abrikosov lattice close to \(H_{{c}_{2}}\)
• Phase diagram for Abrikosov lattice
• Abrikosov Lattice Solutions of the Ginzburg-Landau Equations
• Statics and dynamics of magnetic vortices and of Nielsen–Olesen (Nambu) strings
• Analysis and Approximation of the Ginzburg–Landau Model of Superconductivity
• Macroscopic Models for Superconductivity
• On the Bifurcation and Stability of Periodic Solutions of the Ginzburg--Landau Equations in the Plane
• On Abrikosov Lattice Solutions of the Ginzburg-Landau Equation
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