Integrable model for interacting electrons in metallic grains

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

We find an integrable generalization of the BCS model with non-uniform Coulomb and pairing interaction. The Hamiltonian is integrable by construction since it is a functional of commuting operators; these operators, which therefore are constants of motion of the model, contain the anisotropic Gaudin Hamiltonians. The exact solution is obtained diagonalizing them by means of Bethe Ansatz. Uniform pairing and Coulomb interaction are obtained as the ``isotropic limit'' of the Gaudin Hamiltonians. We discuss possible applications of this model to a single grain and to a system of few interacting grains.
4 pages, revtex. Revised version to be published in Phys. Rev. Lett

Keywords

Superconductivity, Exactly Solvable and Integrable Systems

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/98509

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/cond-mat/0101029
 http://arxiv.org/abs/cond-mat/0101029
 Phys. Rev. Lett. 86, 5759 (2001)
 doi:10.1103/PhysRevLett.86.5759

Collections

arXiv