Boundary superconductivity in the BCS model

DOI10.4171/jst/439zbMath1530.81071arXiv2201.08090MaRDI QIDQ6111646

Barbara Roos, Robert Seiringer, Christian Hainzl

Publication date: 4 August 2023

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

Full work available at URL: https://arxiv.org/abs/2201.08090

zbMATH Keywords

critical temperatureBCS theoryboundary superconductivity

Mathematics Subject Classification ID

Statistical mechanics of superconductors (82D55) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Classical and relativistic thermodynamics (80A10) Dynamic critical phenomena in statistical mechanics (82C27) Initial-boundary value problems for linear higher-order PDEs (35G16) Ginzburg-Landau equations (35Q56)

Cites Work

• Condensation of fermion pairs in a domain
• The BCS functional for general pair interactions
• Bound states of a pair of particles on the half-line with a general interaction potential
• Two-particle bound states at interfaces and corners
• The BCS critical temperature in a weak homogeneous magnetic field
• Microscopic derivation of Ginzburg-Landau theory

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