Self-Consistent Random Phase Approximation - Application to the Hubbard Model for finite number of sites

Details Self-Consistent Random Phase Approximation - Application to the Hubbard Model for finite number of sites Self-Consistent Random Phase Approximation - Application to the Hubbard Model for finite number of sites

2004-07-08

arxiv.org/abs/cond-mat/0407223v2

Phys. Rev. B 71 (2005) 1

Physics

Condensed Matter

Strongly Correlated Electrons

17 pages, 17 figures

Scientific paper

10.1103/PhysRevB.71.085115

Within the 1D Hubbard model linear closed chains with various numbers of sites are considered in Self Consistent Random Phase Approximation (SCRPA). Excellent results with a minimal numerical effort are obtained for 2+4n sites cases, confirming earlier results with this theory for other models. However, the 4n sites cases need further considerations. SCRPA solves the two sites problem exactly. It therefore contains the two electrons and high density Fermi gas limits correctly.

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