Superconductivity between \(H_{C_2}\) and \(H_{C_3}\)

DOI10.4171/JST/12zbMath1225.34097arXiv1005.4838MaRDI QIDQ2276074

Søren Fournais, Bernard Helffer, Mikael Persson Sundqvist

Publication date: 16 August 2011

Published in: Journal of Spectral Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1005.4838

zbMATH Keywords

spectral theoryordinary differential operatorGinzurg-Landau functional

Mathematics Subject Classification ID

Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15) Ginzburg-Landau equations (35Q56)

Related Items (14)

Effects of boundary curvature on surface superconductivity ⋮ Decay of superconductivity away from the magnetic zero set ⋮ Non-homogeneous magnetic permeability and magnetic steps within the Ginzburg-Landau model ⋮ On the Ginzburg-Landau functional in the surface superconductivity regime ⋮ The distribution of superconductivity near a magnetic barrier ⋮ The breakdown of superconductivity in the presence of magnetic steps ⋮ The Ginzburg-Landau functional with vanishing magnetic field ⋮ Concentration behavior and lattice structure of 3D surface superconductivity in the half space ⋮ Effects of corners in surface superconductivity ⋮ Surface effects in superconductors with corners ⋮ Characterization of bulk states in one-edge quantum Hall systems ⋮ Boundary behavior of the Ginzburg-Landau order parameter in the surface superconductivity regime ⋮ Lowest energy band function for magnetic steps ⋮ Differential equations of quantum mechanics

Cites Work

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• Nucleation of bulk superconductivity close to critical magnetic field
• Eigenvalues variation. I: Neumann problem for Sturm--Liouville operators
• Spectral methods in surface superconductivity
• Strong diamagnetism for the ball in three dimensions
• The Montgomery model revisited
• The Distribution of Surface Superconductivity Along the Boundary: On a Conjecture of X. B. Pan

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