Self-Consistent Strong-Coupling-Perturbation Theory for the Anderson Model, Based on Wicks Theorem

Abstract

A strong-coupling-perturbation theory around the Atomic Limit of the Anderson model with large $U$ for a localized $f$-orbital coupled to a conduction-electron band is presented. Although an auxiliary-particle representation is {\em not} used, application of the canonical Wick's theorem is possible and yields an expansion in the hybridization $V$ via dressed skeleton-Feynman diagrams. The Self-Consistent T-Approximation is constructed as a $\Phi$-derivable approximation. From a numerical solution of self-consistency equations the $f$-electron-excitation spectrum is investigated. Comparison to the Non-Crossing Approximation is made in virtue of exact formal relations and numerical results. An extension of this Feynman-diagram approach to the Anderson-lattice model is indicated, and application within the Local-Approximation scheme (limit of infinite spatial dimension) is given.

19 pages, revtex3.0, epsf, 11 figures included as .eps files

References in corpus (7)

• Spectral Properties of the Anderson Impurity Model, Comparison of Numerical Renormalization Group and Non--Crossing Approximation
• Nonlinear Conductance for the Two Channel Anderson Model
• Zero-temperature magnetism in the periodic Anderson model in the limit of large dimensions
• Slave-particle quantization and sum rules in the t-J model
• An Enhanced Perturbational Study on Spectral Properties of the Anderson Model
• Wick's Theorem and a New Perturbation Theory Around the Atomic Limit of Strongly Correlated Electron Systems
• On Perturbation Theory Around the Atomic Limit of Strongly Correlated Electron Systems: A New Approach Based on Wick's Theorem

Cited by in corpus (2)

• Response functions of an artificial Anderson atom in the atomic limit
• Strong-coupling approach to ground-state properties of the Anderson lattice-model