On the Ginzburg-Landau functional in the surface superconductivity regime

DOI10.1007/s00220-014-2095-9zbMath1305.82062arXiv1309.2268OpenAlexW3103591180WikidataQ108046002 ScholiaQ108046002MaRDI QIDQ462893

Nicolas Rougerie, Michele Correggi

Publication date: 22 October 2014

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1309.2268

zbMATH Keywords

superconductorsGinzburg-Landau equationselliptic estimates

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Statistical mechanics of superconductors (82D55) Variational methods applied to problems in optics and electromagnetic theory (78M30) Ginzburg-Landau equations (35Q56)

Related Items (19)

Effects of boundary curvature on surface superconductivity ⋮ Multi-component Ginzburg-Landau theory: microscopic derivation and examples ⋮ On the third critical speed for rotating Bose-Einstein condensates ⋮ Decay of superconductivity away from the magnetic zero set ⋮ A 3D-Schrödinger operator under magnetic steps with semiclassical applications ⋮ Microscopic derivation of Ginzburg-Landau theory and the BCS critical temperature shift in general external fields ⋮ Surface superconductivity in presence of corners ⋮ Microscopic derivation of Ginzburg-Landau theory and the BCS critical temperature shift in a weak homogeneous magnetic field ⋮ Non-homogeneous magnetic permeability and magnetic steps within the Ginzburg-Landau model ⋮ Magnetic steps on the threshold of the normal state ⋮ 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 ⋮ 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 ⋮ Lowest energy band function for magnetic steps ⋮ Differential equations of quantum mechanics ⋮ Erratum to: ``On the Ginzburg-Landau functional in the surface superconductivity regime

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