Self-consistent random phase approximation: Application to the Hubbard model for finite number of sites

Mohsen Jemaï, Peter Schuck, Jorge Dukelsky, and Raouf Bennaceur

Phys. Rev. B 71, 085115 – Published 22 February 2005

Abstract

Within the one-dimensional Hubbard model linear closed chains with various numbers of sites are considered in the self-consistent random phase approximation (SCRPA). Excellent results with a minimal numerical effort are obtained for $(2 + 4 n)$ -site cases, confirming earlier results with this theory for other models. However, the $4 n$ -site cases need further consideration. The SCRPA solves the two-site problem exactly. It therefore contains the two-electron and high-density Fermi gas limits correctly.

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Received 8 July 2004

DOI:https://doi.org/10.1103/PhysRevB.71.085115

Authors & Affiliations

Mohsen Jemaï^*

Institut de Physique Nucléaire d’Orsay, Université Paris-Sud, CNRS-IN2P3, 15, Rue Georges Clemenceau, 91406 Orsay Cedex, France

Peter Schuck^†

Institut de Physique Nucléaire d’Orsay, Université Paris-Sud, CNRS-IN2P3, 15, Rue Georges Clemenceau, 91406 Orsay Cedex, France and Laboratoire de Physique et Modlisation des Milieux Condenss (LPMMC) (UMR 5493), Maison Jean Perrin, 25 avenue des Martyrs BP 166, 38042 Grenoble cedex 9, France

Jorge Dukelsky^‡

Instituto de Estructura de la Materia, Consejo Superior de Investigaciones Cientificas, Serrano 123, 28006 Madrid, Spain

Raouf Bennaceur^§

Département de Physique, Faculté des Sciences de Tunis, Université de Tunis El-Manar 2092 El-Manar, Tunis, Tunisie

^*Also at the Département de Physique, Faculté des Sciences de Tunis, Université de Tunis El-Manar 2092 El-Manar, Tunis, Tunis. Electronic address: jemai@ipno.in2p3.fr
^†Electronic address: schuck@ipno.in2p3.fr
^‡Electronic address: dukelsky@iem.cfmac.csic.es
^§Electronic address: raouf.bennaceur@inrst.rnrt.tn

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Vol. 71, Iss. 8 — 15 February 2005

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