Low density limit of BCS theory and Bose-Einstein condensation of fermion pairs

DOI10.1007/s11005-011-0535-4zbMath1253.82116arXiv1105.1100OpenAlexW1984764505MaRDI QIDQ452221

Robert Seiringer, Christian Hainzl

Publication date: 20 September 2012

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

Full work available at URL: https://arxiv.org/abs/1105.1100

zbMATH Keywords

superfluidityBose-Einstein condensationGinzburg-Landau theoryGross-Pitaevskii functionalBardeen-Cooper-Schrieffer (BCS) theoryfermion pairssemiclassic

Mathematics Subject Classification ID

Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Statistical mechanics of superfluids (82D50) Applications of functional analysis in quantum physics (46N50)

Related Items (11)

Microscopic derivation of Ginzburg-Landau theory ⋮ Dynamics of Bose-Einstein condensates of fermion pairs in the low density limit of BCS theory ⋮ Bogolubov-Hartree-Fock theory for strongly interacting fermions in the low density limit ⋮ 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 ⋮ Mean-field evolution of fermionic systems ⋮ Incompatibility of time-dependent Bogoliubov-de-Gennes and Ginzburg-Landau equations ⋮ Persistence of translational symmetry in the BCS model with radial pair interaction ⋮ Condensation of fermion pairs in a domain ⋮ The Bardeen–Cooper–Schrieffer functional of superconductivity and its mathematical properties

Cites Work

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• The BCS functional for general pair interactions
• The BCS critical temperature for potentials with negative scattering length
• The critical temperature for the BCS equation at weak coupling
• Existence of a stable polarized vacuum in the Bogoliubov-Dirac-Fock approximation
• Derivation of Ginzburg-Landau Theory for a One-dimensional System with Contact Interaction
• Microscopic derivation of Ginzburg-Landau theory
• Structure of a quantized vortex in boson systems
• Theory of Superconductivity

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