Physics – Condensed Matter – Strongly Correlated Electrons
Scientific paper
2006-02-28
Physics
Condensed Matter
Strongly Correlated Electrons
15 pages, 8 fugures, submitted to JSTAT
Scientific paper
10.1088/1742-5468/2006/03/P03015
We use Brueckner-Goldstone perturbation theory to calculate the ground-state energy of the half-filled Hubbard model in infinite dimensions up to fourth order in the Hubbard interaction. We obtain the momentum distribution as a functional derivative of the ground-state energy with respect to the bare dispersion relation. The resulting expressions agree with those from Rayleigh-Schroedinger perturbation theory. Our results for the momentum distribution and the quasi-particle weight agree very well with those obtained earlier from Feynman-Dyson perturbation theory for the single-particle self-energy. We give the correct fourth-order coefficient in the ground-state energy which was not calculated accurately enough from Feynman-Dyson theory due to the insufficient accuracy of the data for the self-energy, and find a good agreement with recent estimates from Quantum Monte-Carlo calculations.
Gebhard Florian
Ruhl Daniel
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