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

TitleSuperconducting correlations in metallic nanoparticles: Exact solution of the BCS model by the algebraic Bethe ansatz
Publication TypeJournal Article
Year of Publication2002
AuthorsZhou, H. Q., Links J., McKenzie Ross H., and Gould M. D.
JournalPhysical Review B
Volume65
Issue6
Pagination-
AbstractSuperconducting pairing of electrons in nanoscale metallic particles with discrete energy levels and a fixed number of electrons is described by the reduced Bardeen, Cooper, and Schrieffer 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 and correlation functions that describe superconducting pairing.
DOI10.1103/PhysRevB.65.060502