Applicability of Bardeen-Cooper-Schrieffer theory to small-sized superconductors: role of Cooper-pair binding energy
arXiv:1412.1015 · doi:10.1016/j.ssc.2014.12.025
Abstract
We analyze conditions of applicability of grand-canonical mean-field Bardeen-Cooper-Schrieffer theory to the evaluation of an interaction energy in the ground state of small-sized superconductors. We argue that this theory fails to describe correctly an interaction energy, when an average distance between energy levels near the Fermi energy due to the size quantization becomes of the order of the single-pair binding energy. In conventional superconductors, this quantity is much smaller than the superconducting gap.
arXiv comment5 pages, no figures
References in corpus (12)
- Exactly solvable Richardson-Gaudin models for many-body quantum systems
- Parity Effect in Ground State Energies of Ultrasmall Superconducting Grains
- Fixed-N Superconductivity: The Crossover from the Bulk to the Few-Electron Limit
- Exact Study of the Effect of Level Statistics in Ultrasmall Superconducting Grains
- Thermodynamic properties of a small superconducting grain
- Finite Size Corrections for the Pairing Hamiltonian
- Metallic nanograins: spatially nonuniform pairing induced by quantum confinement
- Thermodynamics of ultrasmall metallic grains in the presence of pairing and exchange correlations: Mesoscopic fluctuations
- BCS ansatz, Bogoliubov approach to superconductivity and Richardson-Gaudin exact wave function
- "Moth-eaten effect" driven by Pauli blocking, revealed for Cooper pairs
- Order parameter, correlation functions and fidelity susceptibility for the BCS model in the thermodynamic limit
- Electron-hole symmetry and solutions of Richardson pairing model