Brueckner-Goldstone perturbation theory for the half-filled Hubbard model in infinite dimensions

Abstract

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.

arXiv comment15 pages, 8 fugures, submitted to JSTAT

References in corpus (3)

• Dynamical Density-Matrix Renormalization Group for the Mott--Hubbard insulator in high dimensions
• Fourth-Order Perturbation Theory for the Half-Filled Hubbard Model in Infinite Dimensions
• Analytical and Numerical Treatment of the Mott--Hubbard Insulator in Infinite Dimensions

Cited by in corpus (4)

• Correlations in a band insulator
• Ground-state properties of the symmetric single-impurity Anderson model on a ring from Density-Matrix Renormalization Group, Hartree-Fock, and Gutzwiller theory
• Strong-coupling approach to the Mott--Hubbard insulator on a Bethe lattice in Dynamical Mean-Field Theory
• Random dispersion approximation for the Hubbard model