Renormalization of the periodic Anderson model: an alternative analytical approach to heavy Fermion behavior

Details Renormalization of the periodic Anderson model: an alternative analytical approach to heavy Fermion behavior Renormalization of the periodic Anderson model: an alternative analytical approach to heavy Fermion behavior

2004-06-25

arxiv.org/abs/cond-mat/0406653v2

Phys. Rev. B 71, 155116 (2005)

Physics

Condensed Matter

Strongly Correlated Electrons

26 pages, 5 figures included, discussion of the DOS added in v2, accepted for publication in Phys. Rev. B

Scientific paper

10.1103/PhysRevB.71.155116

In this paper a recently developed projector-based renormalization method (PRM) for many-particle Hamiltonians is applied to the periodic Anderson model (PAM) with the aim to describe heavy Fermion behavior. In this method high-energetic excitation operators instead of high energetic states are eliminated. We arrive at an effective Hamiltonian for a quasi-free system which consists of two non-interacting heavy-quasiparticle bands. The resulting renormalization equations for the parameters of the Hamiltonian are valid for large as well as small degeneracy $\nu_f$ of the angular momentum. An expansion in $1/\nu_f$ is avoided. Within an additional approximation which adapts the idea of a fixed renormalized \textit{f} level $\tilde{\epsilon}_{f}$, we obtain coupled equations for $\tilde{\epsilon}_{f}$ and the averaged \textit{f} occupation $$. These equations resemble to a certain extent those of the usual slave boson mean-field (SB) treatment. In particular, for large $\nu_f$ the results for the PRM and the SB approach agree perfectly whereas considerable differences are found for small $\nu_f$.

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