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J Phys Condens Matter. 2005 Jun 29;17(25):3807-14. doi: 10.1088/0953-8984/17/25/007. Epub 2005 Jun 10.

Gutzwiller variational theory for the Hubbard model with attractive interaction.

Journal of physics. Condensed matter : an Institute of Physics journal

Jörg Bünemann, Florian Gebhard, Katalin Radnóczi, Patrik Fazekas

Affiliations

  1. Fachbereich Physik, Philipps-Universität Marburg, D-35032 Marburg, Germany.

PMID: 21690697 DOI: 10.1088/0953-8984/17/25/007

Abstract

We investigate the electronic and superconducting properties of a negative-U Hubbard model. For this purpose we evaluate a recently introduced variational theory based on Gutzwiller-correlated BCS wavefunctions. We find significant differences between our approach and standard BCS theory, especially for the superconducting gap. For small values of |U|, we derive analytical expressions for the order parameter and the superconducting gap which we compare to exact results from perturbation theory.

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