Dynamical Charge Susceptibility of the Spinless Falicov-Kimball Model
Strongly Correlated Electrons
2009-10-31 v1 Statistical Mechanics
Abstract
An exact solution is presented for the frequency-dependent charge susceptibility of the spinless Falicov-Kimball model by using dynamical mean-field theory. We develop a nontrivial application of the Baym-Kadanoff "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 dynamic susceptibilities are decoupled in this model and how the dynamic susceptibility generically does not show any signal of the low-temperature charge-density-wave phase transition. We also examine the temperature evolution of the dynamic charge susceptibility for the special case of half-filling.
Keywords
Cite
@article{arxiv.cond-mat/0005097,
title = {Dynamical Charge Susceptibility of the Spinless Falicov-Kimball Model},
author = {J. K. Freericks and P. Miller},
journal= {arXiv preprint arXiv:cond-mat/0005097},
year = {2009}
}
Comments
15 pages, 10 figures, submitted to Phys. Rev. B