Superconductivity and the Aharonov-Bohm effect

DOI10.1016/j.crma.2019.01.003zbMath1416.82051OpenAlexW2914606087MaRDI QIDQ666747

Ayman Kachmar, Xing-Bin Pan

Publication date: 12 March 2019

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2019.01.003

zbMATH Keywords

Aharonov-Bohm magnetic potentialGinzburg-Landau (GL) modelLittle-Parks experiment

Mathematics Subject Classification ID

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

Related Items (7)

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 ⋮ Dynamical confinement for Schrödinger operators with magnetic potential and Aharonov–Bohm effect ⋮ Magnetic steps on the threshold of the normal state ⋮ Thin domain limit and counterexamples to strong diamagnetism ⋮ Counterexample to strong diamagnetism for the magnetic Robin Laplacian ⋮ Breakdown of superconductivity in a magnetic field with self-intersecting zero set

Cites Work

• Unnamed Item
• The influence of magnetic steps on bulk superconductivity
• On the third critical field in Ginzburg-Landau theory
• Spectral methods in surface superconductivity
• Nodal sets for ground states of Schrödinger operators with zero magnetic field in non simply connected domains
• Lack of diamagnetism and the Little-Parks effect
• The Friedrichs extension of the Aharonov-Bohm Hamiltonian on a disc
• The Breakdown of Superconductivity Due to Strong Fields for the Ginzburg--Landau Model
• Eigenvalues variations for Aharonov-Bohm operators

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