Class of Exactly Solvable Pairing Models

J. Dukelsky; C. Esebbag; P. Schuck

doi:10.1103/PhysRevLett.87.066403

Class of Exactly Solvable Pairing Models

J. Dukelsky, C. Esebbag, and P. Schuck

Phys. Rev. Lett. 87, 066403 – Published 23 July 2001

Abstract

We present three classes of exactly solvable models for fermion and boson systems, based on the pairing interaction. These models are solvable in any dimension. As an example we show the first results for fermions interacting with repulsive pairing forces in a two-dimensional square lattice. In spite of the repulsive pairing force the exact results show attractive pair correlations.

Received 11 January 2001

DOI:https://doi.org/10.1103/PhysRevLett.87.066403

Authors & Affiliations

J. Dukelsky¹, C. Esebbag², and P. Schuck³

¹Instituto de Estructura de la Materia, CSIC, Serrano 123, 28006 Madrid, Spain
²Departamento de Matemáticas, Universidad de Alcalá, 28871 Alcalá de Henares, Spain
³Institut de Physique Nucléaire, Université de Paris-Sud, F-91406 Orsay Cedex, France