Strong coupling theory for the Hubbard model

Details Strong coupling theory for the Hubbard model Strong coupling theory for the Hubbard model

1999-09-23

arxiv.org/abs/cond-mat/9909352v1

Physics

Condensed Matter

Strongly Correlated Electrons

RevTex-file, 10 PRB pages with 6 eps figures. Hardcopies of figures (or the entire manuscript) can be obtained by e-mail reque

Scientific paper

10.1103/PhysRevB.61.12816

We reanalyze the Hubbard-I approximation by showing that it is equivalent to an effective Hamiltonian describing Fermionic charge fluctuations, which can be solved by Bogoliubov transformation. As the most important correction in the limit of large U and weak spin correlations we augment this Hamiltonian by further effective particles, which describe composite objects of a Fermionic charge fluctuation and a spin-, density- or eta- excitation. The scheme is valid for positive and negative U. We present results for the single particle Green's function for the two-dimensional Hubbard model with and without t' and t'' terms, and compare to Quantum Monte-Carlo (QMC) results for the paramagnetic phase. The overall agreement is significantly improved over the conventional Hubbard-I or two-pole approximation.

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