https://doi.org/10.1007/s100510050402
Strongly correlated Falicov-Kimball model in infinite dimensions
Institute of Metal Physics, Ural division of Russian Academy
of Sciences, Kovalevskaya str. 18, Ekaterinburg, 620219, Russia
Corresponding author: a Barri.Letfulov@imp.uran.ru
Received:
15
October
1997
Accepted:
11
March
1998
Published online: 15 August 1998
In this paper we have examined the strongly correlated
Falicov-Kimball model in infinite dimensions with the help of a diagrammatic
technique for the Hubbard X-operators. This model is represented by the
simplified 
model with introduced intra-atomic level energy 
for localized particles.
For the Bethe lattice with 
, we have found that the obtained equations
for the band Green's function and self-energy coincide with the corresponding
Brandt-Mielsch equations taken at 
, and are resolved in analytical
form both in the homogeneous phase and in the chessboard phase. In the latter
case we have obtained the equation for the order parameter defining the
chessboard-like distribution of localized particles. Instability
of the homogeneous phase and properties of the chessboard phase are
investigated in detail. In particular, it is found that the temperature
dependence of the chessboard order parameter has reentrant behaviour for
some range of values of .
PACS: 71.10.Fd – Lattice fermion models (Hubbard model, etc.) / 71.45.Lr – Charge-density-wave systems
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 1998
