High-Density Expansion for the Spinless Fermion Model I: First Order in 1/z and Horwitz-Callen Renormalization
1988 (English)In: International Journal of Modern Physics B, ISSN 0217-9792, Vol. 2, no 03-04, 483-520 p.Article in journal (Refereed) Published
A diagrammatic technique for Hubbard's operators is employed to perform systematically the high-density expansion for the three-dimensional spinless fermion model. The molecular field theory is obtained by the zero-order renormalization of blocks. Summation of the first order diagrams is carried out in both selfconsistent and correctional way. It turns out that the charge ordering parameter, calculated self-consistently, has a jump for a certain medial temperature. We have also shown, that the Horwitz-Callen renormalization leads to the first or second order phase transition, depending on t/W and fails when this ratio is large enough. The phase diagrams of the system for the half-filled band case, derived in both unrenormalized and renormalized first order of high-density expansion are presented.
Place, publisher, year, edition, pages
World Scientific Publishing , 1988. Vol. 2, no 03-04, 483-520 p.
IdentifiersURN: urn:nbn:se:liu:diva-105953DOI: 10.1142/S0217979288000342OAI: oai:DiVA.org:liu-105953DiVA: diva2:712593