Fermi linearization scheme for itinerant electrons with Clifford variables
Abstract
We propose here an alternative interpretation of the fermilinarization approach to interacting electron systems, based on the requirement that the coefficients of the linearized operators are Cliffordlike variables, whose anticommutator equals an unknown constant $c$. We apply the approximation to the FalicovKimball model, explicitly solving the selfconsistency equation for the unknown, which turns out to behave as an order parameter. We discuss its relation with a metalinsulator 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.
 Publication:

Journal of Physics A Mathematical General
 Pub Date:
 November 1992
 DOI:
 10.1088/03054470/25/22/009
 arXiv:
 arXiv:condmat/9209018
 Bibcode:
 1992JPhA...25.5815M
 Keywords:

 Condensed Matter
 EPrint:
 12 pages, 3 figures (appended as PostScript files), POLFISTH.03.92