X-boson cumulant approach to the periodic Anderson model

Abstract

The Periodic Anderson Model (PAM) can be studied in the infinite U limit by employing the Hubbard X operators to project out the unwanted states. We have already studied this problem employing the cumulant expansion with the hybridization as perturbation, but the probability conservation of the local states (completeness) is not usually satisfied when partial expansions like the Chain Approximation (CHA) are employed. Here we treat the problem by a technique inspired in the mean field approximation of Coleman's slave-bosons method, and we obtain a description that avoids the unwanted phase transition that appears in the mean-field slave-boson method both when the chemical potential is greater than the localized level Ef at low temperatures (T) and for all parameters at intermediate T.

Submited to Physical Review B 14 pages, 17 eps figures inserted in the text

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• Valence transition in the periodic Anderson model
• Renormalization of the periodic Anderson model: an alternative analytical approach to heavy Fermion behavior
• Heavy fermion superconductivity: X-boson treatment
• Thermodynamic properties of the periodic Anderson model:X-boson treatment
• Study of the Kondo and high-temperature limits of the slave-boson and X-boson methods
• Superconductor-insulator transition induced by pressure within the X-boson approach
• Heavy fermion d-wave superconductivity: a X-boson approach
• The role of the short range magnetic correlations on the gap opening of the topological Kondo insulators