X-boson cumulant approach to the periodic Anderson model

Details X-boson cumulant approach to the periodic Anderson model X-boson cumulant approach to the periodic Anderson model

2001-09-03

arxiv.org/abs/cond-mat/0109037v1

Physics

Condensed Matter

Strongly Correlated Electrons

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

Scientific paper

10.1103/PhysRevB.66.045112

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.

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