APPLICATION OF THE GUTZWILLER METHOD TO THE PERIODIC ANDERSON MODEL.

P. Fazekas, B. H. Brandow

Research output: Contribution to journalArticle

55 Citations (Scopus)

Abstract

The ground state of the orbitally non-degenerate periodic Anderson model is studied variationally. Our Ansatz is the lattice version of the lowest-order Varma-Yafet trial state, with the number of the independent variational parameters being equal to the number of k-states within the Fermi-surface. We employ a two-band version of the Gutzwiller method. The only approximation we make is the replacement of the determinant expressions in the Gutzwiller expansion by their averages. The optimization problem is solved, exactly, and the results can be interpreted in terms of an effective free-fermion Hamiltonian. A simple model is introduced to get closed-form results in the limit of small hybridization, and we find the same Kondo exponent as Rice and Ueda. The spin dependence of the effective hybridization leads to a spin polarization instability for sufficiently small hybridization, even within the mixed valent regime.

Original languageEnglish
Pages (from-to)809-819
Number of pages11
JournalPhysica Scripta
Volume36
Issue number5
Publication statusPublished - Nov 1987

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Anderson Model
rice
determinants
Spin Polarization
Fermi surfaces
fermions
exponents
optimization
Fermions
expansion
Ground State
Replacement
ground state
Lowest
Determinant
Closed-form
polarization
approximation
Exponent
Optimization Problem

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

APPLICATION OF THE GUTZWILLER METHOD TO THE PERIODIC ANDERSON MODEL. / Fazekas, P.; Brandow, B. H.

In: Physica Scripta, Vol. 36, No. 5, 11.1987, p. 809-819.

Research output: Contribution to journalArticle

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