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Density-matrix functionals for pairing in mesoscopic superconductors

Denis Lacroix, Guillaume Hupin

DOI 10.1103/PhysRevB.82.144509 · Physical Review B

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Abstract

A functional theory based on single-particle occupation numbers is developed for pairing. This functional, that generalizes the Bardeen-Cooper-Schrieffer approach, directly incorporates corrections due to particle number conservation. The functional is benchmarked with the pairing Hamiltonian and reproduces perfectly the energy for any particle number and coupling.

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