Nucleation of bulk superconductivity close to critical magnetic field

DOI10.1016/j.aim.2010.08.004zbMath1205.82147arXiv0909.5451OpenAlexW2023851009MaRDI QIDQ616882

Ayman Kachmar, Søren Fournais

Publication date: 12 January 2011

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0909.5451

zbMATH Keywords

variational methodsGinzburg-Landau functionalmagnetic Schrödinger operatorselliptic estimatesthermodynamic limits

Mathematics Subject Classification ID

Variational methods for elliptic systems (35J50) Statistical mechanics of superconductors (82D55) Statistical mechanics of magnetic materials (82D40)

Related Items (24)

Effects of boundary curvature on surface superconductivity ⋮ On the transition to the normal phase for superconductors surrounded by normal conductors ⋮ Energy and vorticity of the Ginzburg–Landau model with variable magnetic field ⋮ Decay of superconductivity away from the magnetic zero set ⋮ On the shape of Meissner solutions to the 2-dimensional Ginzburg-Landau system ⋮ Non-homogeneous magnetic permeability and magnetic steps within the Ginzburg-Landau model ⋮ The ground state energy of the three-dimensional Ginzburg-Landau model in the mixed phase ⋮ Vortex lattice solutions of the ZHK Chern–Simons equations ⋮ On the Ginzburg-Landau functional in the surface superconductivity regime ⋮ Magnetic steps on the threshold of the normal state ⋮ The distribution of superconductivity near a magnetic barrier ⋮ The Ginzburg-Landau functional with vanishing magnetic field ⋮ Effects of corners in surface superconductivity ⋮ Thin domain limit and counterexamples to strong diamagnetism ⋮ Almost flat angles in surface superconductivity ⋮ The Ground State Energy of the Three Dimensional Ginzburg-Landau Functional Part I: Bulk Regime ⋮ Surface effects in superconductors with corners ⋮ Superconductivity between \(H_{C_2}\) and \(H_{C_3}\) ⋮ The influence of magnetic steps on bulk superconductivity ⋮ Boundary behavior of the Ginzburg-Landau order parameter in the surface superconductivity regime ⋮ Breakdown of superconductivity in a magnetic field with self-intersecting zero set ⋮ The density of superconductivity in the bulk regime ⋮ Thomas-Fermi profile of a fast rotating Bose-Einstein condensate ⋮ Differential equations of quantum mechanics

Cites Work

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• Bulk superconductivity in type II superconductors near the second critical field
• Estimates of the upper critical field for the Ginzburg-Landau equations of superconductivity
• Surface superconductivity in applied magnetic fields above \(H_{C_2}\)
• Upper critical field and location of surface nucleation of superconductivity
• Lowest Landau level approach in superconductivity for the Abrikosov lattice close to \(H_{{c}_{2}}\)
• Energy asymptotics for type II superconductors
• The Decrease of Bulk-Superconductivity Close to the Second Critical Field in the Ginzburg--Landau Model
• The Distribution of Surface Superconductivity Along the Boundary: On a Conjecture of X. B. Pan
• On the Ginzburg‐Landau critical field in three dimensions
• NONLINEAR SURFACE SUPERCONDUCTIVITY IN THE LARGE κ LIMIT

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