On the Ginzburg‐Landau critical field in three dimensions
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Publication:5503317
DOI10.1002/cpa.20247zbMath1159.35301arXivmath-ph/0703047OpenAlexW1965660442MaRDI QIDQ5503317
Bernard Helffer, Søren Fournais
Publication date: 13 January 2009
Published in: Communications on Pure and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math-ph/0703047
Related Items (15)
Nucleation of bulk superconductivity close to critical magnetic field ⋮ On the shape of Meissner solutions to the 2-dimensional Ginzburg-Landau system ⋮ Helical magnetic fields and semi-classical asymptotics of the lowest eigenvalue ⋮ The existence of Meissner solutions to the full Ginzburg-Landau system in three dimensions ⋮ On the bound states of magnetic Laplacians on wedges ⋮ Non-monotonicity of the first eigenvalue for the 3D magnetic Robin Laplacian ⋮ Oscillatory patterns in the Ginzburg-Landau model driven by the Aharonov-Bohm potential ⋮ The ground state energy of the three-dimensional Ginzburg-Landau model in the mixed phase ⋮ The breakdown of superconductivity in the presence of magnetic steps ⋮ The Ground State Energy of the Three Dimensional Ginzburg-Landau Functional Part I: Bulk Regime ⋮ Existence and asymptotic behavior of solutions to the abelian Higgs model with impurity ⋮ Lack of diamagnetism and the Little-Parks effect ⋮ The model magnetic Laplacian on wedges ⋮ Breakdown of superconductivity in a magnetic field with self-intersecting zero set ⋮ Differential equations of quantum mechanics
Cites Work
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- Eigenvalues variation. I: Neumann problem for Sturm--Liouville operators
- Accurate eigenvalue asymptotics for the magnetic Neumann Laplacian
- On the third critical field in Ginzburg-Landau theory
- Semi-classical analysis for the Schrödinger operator and applications
- Schrödinger operators with magnetic fields. I: General interactions
- Estimates of the upper critical field for the Ginzburg-Landau equations of superconductivity
- Surface nucleation of superconductivity in 3-dimensions
- Hearing the zero locus of a magnetic field
- Semiclassical analysis for the ground state energy of a Schrödinger operator with magnetic wells
- Strong diamagnetism for general domains and application
- Schrödinger operators with non-degenerately vanishing magnetic fields in bounded domains
- Analysis and Approximation of the Ginzburg–Landau Model of Superconductivity
- The Breakdown of Superconductivity Due to Strong Fields for the Ginzburg--Landau Model
- Superconductors surrounded by normal materials
- Eigenvalue problems of Ginzburg–Landau operator in bounded domains
- Surface superconductivity in 3 dimensions
- Magnetic bottles for the Neumann problem: curvature effects in the case of dimension 3 (general case)
- NON-LINEAR SURFACE SUPERCONDUCTIVITY IN THREE DIMENSIONS IN THE LARGE κ LIMIT
- SUPERCONDUCTIVITY IN DOMAINS WITH CORNERS
- Magnetic bottles in connection with superconductivity
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