Phys. Rev. Lett. 87, 066403 (2001) [4 pages]

Class of Exactly Solvable Pairing Models

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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

Received 11 January 2001; published 23 July 2001

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.


©2001 The American Physical Society

URL: http://link.aps.org/abstract/PRL/v87/e066403
DOI: 10.1103/PhysRevLett.87.066403
PACS: 71.10.Li, 74.20.Fg

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