Static and dynamic properties of the spinless Falicov-Kimball model
نویسندگان
چکیده
منابع مشابه
Dynamical charge susceptibility of the spinless Falicov-Kimball model
An exact solution is presented for the frequency-dependent charge susceptibility of the spinless FalicovKimball model by using dynamical mean-field theory. We develop a nontrivial application of the BaymKadanoff ‘‘conserving approximation’’ formalism to exactly determine the frequency-dependent vertex function ~which turns out to assume a particularly simple form!. We show how the static and dy...
متن کاملLocal approximation to the spinless Falicov-Kimball model.
The local approximation is applied to the spinless Falicov-Kimball model in one and two dimensions. The local approximation may be viewed as a zeroth-order expansion in 1=d that is exact in the weak-coupling limit. The local approximation rapidly becomes innacurate as a function of interaction strength in one dimension, but is accurate in two dimensions. This result indicates that the 1=d expan...
متن کاملFalicov - Kimball Model
The “Falicov-Kimball model” was first considered by Hubbard and Gutzwiller in 1963– 65 as a simplification of the Hubbard model. Falicov and Kimball introduced in 1969 a model that included a few extra complications, in order to investigate metal-insulator phase transitions in rare-earth materials and transition-metal compounds. Experimental data suggested that this transition is due to the int...
متن کاملProof of phase separation in the binary-alloy problem: the one-dimensional spinless Falicov-Kimball model
The ground states of the one-dimensional Falicov-Kimball model are investigated in the small-coupling limit, using nearly degenerate perturbation theory. For rational electron and ion densities, respectively equal to pq , pi q , with p relatively prime to q and pi q close enough to 1 2 , we find that in the ground state the ion configuration has period q. The situation is analogous to the Peier...
متن کاملSegregation and charge-density-wave order in the spinless Falicov-Kimball model
The spinless Falicov-Kimball model is solved exactly in the limit of infinite dimensions on both the hypercubic and Bethe lattices. The competition between segregation, which is present for large U, and chargedensity-wave order, which is prevalent at moderate U, is examined in detail. We find a rich phase diagram that displays both of these phases. The model also shows nonanalytic behavior in t...
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ژورنال
عنوان ژورنال: Physical Review B
سال: 2007
ISSN: 1098-0121,1550-235X
DOI: 10.1103/physrevb.75.075101