Fermi-linearization scheme for itinerant electrons with Clifford variables

Details Fermi-linearization scheme for itinerant electrons with Clifford variables Fermi-linearization scheme for itinerant electrons with Clifford variables

1992-09-16

arxiv.org/abs/cond-mat/9209018v1

Physics

Condensed Matter

12 pages, 3 figures (appended as PostScript files), POLFIS-TH.03.92

Scientific paper

10.1088/0305-4470/25/22/009

We propose here an alternative interpretation of the fermi-linarization approach to interacting electron systems, based on the requirement that the coefficients of the linearized operators are Clifford-like variables, whose anticommutator equals an unknown constant $c$. We apply the approximation to the Falicov-Kimball model, explicitly solving the self-consistency equation for the unknown, which turns out to behave as an order parameter. We discuss its relation with a metal-insulator transition and some thermodynamical quantities. In particular we show that our approximation in the $T=0$ limit reproduces exactly the Gutzwiller results for the Hubbard model.

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