The uniqueness and approximation of a positive solution of the Bardeen–Cooper–Schrieffer gap equation

DOI10.1063/1.1286424zbMath1054.82036OpenAlexW2048140911MaRDI QIDQ2738162

Yisong Yang, John Bryce McLeod

Publication date: 30 August 2001

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

Full work available at URL: https://doi.org/10.1063/1.1286424

Mathematics Subject Classification ID

Statistical mechanics of superconductors (82D55)

Related Items (9)

A lower bound for the BCS functional with boundary conditions at infinity ⋮ Microscopic derivation of Ginzburg-Landau theory and the BCS critical temperature shift in general external fields ⋮ Microscopic derivation of Ginzburg-Landau theory and the BCS critical temperature shift in a weak homogeneous magnetic field ⋮ Persistence of translational symmetry in the BCS model with radial pair interaction ⋮ Mathematical analysis of the multiband BCS gap equations in superconductivity ⋮ Variational principle of Bogoliubov and generalized mean fields in many-particle interacting systems ⋮ The Bardeen–Cooper–Schrieffer functional of superconductivity and its mathematical properties ⋮ The BCS functional for general pair interactions ⋮ Nonlinear integral equation from the BCS gap equations of superconductivity

Cites Work

• Theoretical investigation of high-temperature superconductivity
• On the Bardeen-Cooper-Schrieffer integral equation in the theory of superconductivity
• The critical temperature and gap solution in the Bardeen-Cooper- Schrieffer theory of superconductivity

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