Bulk superconductivity in type II superconductors near the second critical field

DOI10.4171/JEMS/205zbMath1188.82152arXiv0802.1979MaRDI QIDQ967464

Søren Fournais, Bernard Helffer

Publication date: 29 April 2010

Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0802.1979

zbMATH Keywords

superconductivityGinzburg-Landau modelsecond critical field

Mathematics Subject Classification ID

Statistical mechanics of superconductors (82D55) Ginzburg-Landau equations (35Q56)

Related Items (4)

Nucleation of bulk superconductivity close to critical magnetic field ⋮ The Ground State Energy of the Three Dimensional Ginzburg-Landau Functional Part I: Bulk Regime ⋮ Thomas-Fermi profile of a fast rotating Bose-Einstein condensate ⋮ Differential equations of quantum mechanics

Cites Work

• Abrikosov lattices in finite domains
• On the third critical field in Ginzburg-Landau theory
• Spectral methods in surface superconductivity
• Asymptotics of heavy atoms in high magnetic fields. II: Semiclassical regions
• 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 \(H_{{c}_{2}}\)
• Analysis and Approximation of the Ginzburg–Landau Model of Superconductivity
• The Breakdown of Superconductivity Due to Strong Fields for the Ginzburg--Landau Model
• 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
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