Condensed Matter Physics, 2009, vol. 12, No. 1, pp. 63-74
DOI:10.5488/CMP.12.1.63

Title: Dynamical susceptibilities of the Falicov-Kimball model with correlated hopping: general approach
Author(s):
  A.M. Shvaika (Institute for Condensed Matter Physics of the National Academy of Sciences of Ukraine, 1 Svientsitskii Str., 79011 Lviv, Ukraine) ,
  O.Ya. Farenyuk (Institute for Condensed Matter Physics of the National Academy of Sciences of Ukraine, 1 Svientsitskii Str., 79011 Lviv, Ukraine)

The Falicov-Kimball model with correlated hopping is studied in the limit of infinite spatial dimensions. Dynamical susceptibilities are calculated using the generalization of the Dynamical Mean-Field Theory (DMFT), which is based on expansion over electron hopping around the single-site limit. A special case of semi-elliptic density of states and diagonal correlated hopping is considered numerically and the absence of phase transition for all temperatures except T=0 is demonstrated, which corresponds to the known results.

Key words: Falicov-Kimball model, correlated hopping, electron susceptibilities, dynamical mean field theory, strong coupling
PACS: 71.10.Fd
Comments: Figs. 0, Refs. 26, Tabs. 0


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