https://doi.org/10.1007/s100510050952
Phase separation in the strongly correlated Falicov-Kimball model in infinite dimensions
Institute of Metal Physics, Ural Division of Russian Academy of Sciences, Kovalevskaya
str. 18, Yekaterinburg,
620219, Russia
Received:
1
December
1998
Revised:
12
April
1999
Published online: 15 October 1999
Phase separation in the strongly correlated Falicov-Kimball model in
infinite dimensions is examined. We show that the phase
separation can occur for any values of the interaction constant J* when the
site energy 
of the localized electrons is equal to zero.
Electron-poor regions always have homogeneous state and electron-rich
regions have chessboard state for 
, chessboard state
or homogeneous state in dependence upon temperature for 
and homogeneous state for 
. For and T=0, phase separation
(segregation) occurs at 
.
The obtained results are exact for the Bethe lattice with infinite number
of the nearest neighbours.
PACS: 71.10.Fd – Lattice fermion models (Hubbard model, etc.)
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 1999
