The gap equation for spin-polarized fermions

DOI10.1063/1.3670747zbMath1273.82012arXiv1107.0405OpenAlexW3103510356MaRDI QIDQ2853613

Robert Seiringer, Christian Hainzl, Abraham Freiji

Publication date: 16 October 2013

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

Full work available at URL: https://arxiv.org/abs/1107.0405

zbMATH Keywords

BCS gap equation

Mathematics Subject Classification ID

Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Critical phenomena in equilibrium statistical mechanics (82B27) Statistical mechanics of gases (82D05)

Related Items (5)

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 ⋮ Spin Symmetry Breaking in the Translation-Invariant Hartree--Fock Electron Gas

Cites Work

• The BCS functional for general pair interactions
• The BCS critical temperature for potentials with negative scattering length
• Generalized Hartree-Fock theory and the Hubbard model
• The critical temperature for the BCS equation at weak coupling
• Asymptotic behavior of eigenvalues of Schrödinger type operators with degenerate kinetic energy
• Bogolubov–Hartree–Fock mean field theory for neutron stars and other systems with attractive interactions
• Theory of Superconductivity

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