AN OPERATOR-THEORETICAL PROOF FOR THE SECOND-ORDER PHASE TRANSITION IN THE BCS-BOGOLIUBOV MODEL OF SUPERCONDUCTIVITY
DOI10.2206/kyushujm.74.177zbMath1488.82024arXiv1607.00090OpenAlexW2469114238MaRDI QIDQ5119859
Publication date: 1 September 2020
Published in: Kyushu Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1607.00090
superconductivitynonlinear integral equationsecond-order phase transitionBCS-Bogoliubov gap equation
Other nonlinear integral equations (45G10) Applications of operator theory in the physical sciences (47N50) Statistical mechanics of superconductors (82D55) Dynamic and nonequilibrium phase transitions (general) in statistical mechanics (82C26)
Cites Work
- Unnamed Item
- An operator-theoretical treatment of the Maskawa-Nakajima equation in the massless abelian gluon model
- 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
- Addendum to ``The solution to the BCS gap equation and the second-order phase transition in superconductivity
- The solution to the BCS gap equation and the second-order phase transition in superconductivity
- The critical temperature for the BCS equation at weak coupling
- An existence proof for the gap equation in the superconductivity theory
- Variational principle of Bogoliubov and generalized mean fields in many-particle interacting systems
- Statistical Mechanics and the Physics of Many-Particle Model Systems
- BOGOLIUBOV'S VISION: QUASIAVERAGES AND BROKEN SYMMETRY TO QUANTUM PROTECTORATE AND EMERGENCE
- Theory of Superconductivity
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