Interpolating self-energy of the infinite-dimensional Hubbard model: Modifying the iterative perturbation theory

Abstract

We develop an analytical expression for the self-energy of the infinite-dimensional Hubbard model that is correct in a number of different limits. The approach represents a generalization of the iterative perturbation theory to arbitrary fillings. In the weak-coupling regime perturbation theory to second order in the interaction U is recovered. The theory is exact in the atomic limit. The high-energy behavior of the self-energy up to order (1/E)**2 and thereby the first four moments of the spectral density are reproduced correctly. Referring to a standard strong-coupling moment method, we analyze the limit of strong U. Different modifications of the approach are discussed and tested by comparing with the results of an exact diagonalization study.

LaTeX, 14 pages, 5 ps figures included, title changed, references updated, minor changes

References in corpus (5)

• A New Iterative Perturbation Scheme for Lattice Models with Arbitrary Filling
• Magnetic and Dynamic Properties of the Hubbard Model in Infinite Dimensions
• Superconductivity in the two dimensional Hubbard Model.
• Correlation Induced Insulator to Metal Transitions
• Theory for Dynamical Short Range Order and Fermi Surface Volume in Strongly Correlated Systems

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