Superconducting correlations in metallic nanoparticles: exact solution of the BCS model by the algebraic Bethe ansatz

Details Superconducting correlations in metallic nanoparticles: exact solution of the BCS model by the algebraic Bethe ansatz Superconducting correlations in metallic nanoparticles: exact solution of the BCS model by the algebraic Bethe ansatz

2001-06-20

arxiv.org/abs/cond-mat/0106390v2

Phys. Rev. B 56 (2002) 060502(R)

Physics

Condensed Matter

Superconductivity

revised version, 5 pages, revtex, no figures

Scientific paper

10.1103/PhysRevB.65.060502

Superconducting pairing of electrons in nanoscale metallic particles with discrete energy levels and a fixed number of electrons is described by the reduced BCS model Hamiltonian. We show that this model is integrable by the algebraic Bethe ansatz. The eigenstates, spectrum, conserved operators, integrals of motion, and norms of wave functions are obtained. Furthermore, the quantum inverse problem is solved, meaning that form factors and correlation functions can be explicitly evaluated. Closed form expressions are given for the form factors that describe superconducting pairing.

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