Journal
PHYSICAL REVIEW B
Volume 62, Issue 15, Pages 10022-10032Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevB.62.10022
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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-filing.
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