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Conductivity of interacting spinless fermion systems via the high dimensional approach

G. S. Uhrig
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Abstract

Spinless fermions with repulsion are treated non-perturbatively by classifying the diagrams of the generating functional $Φ$ in powers of the inverse lattice dimension $1/d$. The equations derived from the first two orders are evaluated on the one- and on the two-particle level. The order parameter of the AB-charge density wave (AB-CDW) occurring at larger interaction is calculated in $d=3$. The Bethe-Salpeter equation is evaluated for the conductivity $σ(\om)$ which is found to have two peaks within the energy gap $2Δ$ in the AB-CDW: a remnant of the Drude peak and an excitonic resonance. Unexpectedly, $σ_{\rm\scriptscriptstyle DC}$ does not vanish for $T\to 0$

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G. S. Uhrig. 1994-08-19. Conductivity of interacting spinless fermion systems via the high dimensional approach. https://doi.org/10.1016/0921-4526(94)00560-i

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