Conductivity of interacting spinless fermion systems via the high dimensional approach

Details Conductivity of interacting spinless fermion systems via the high dimensional approach Conductivity of interacting spinless fermion systems via the high dimensional approach

1994-08-19

arxiv.org/abs/cond-mat/9408061v1

Physica B 206/207, 698 (1995)

Physics

Condensed Matter

Latex, 4 pages

Scientific paper

10.1016/0921-4526(94)00560-I

Spinless fermions with repulsion are treated non-perturbatively by classifying the diagrams of the generating functional $\Phi$ 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 $\sigma(\om)$ which is found to have two peaks within the energy gap $2\Delta$ in the AB-CDW: a remnant of the Drude peak and an excitonic resonance. Unexpectedly, $\sigma_{\rm\scriptscriptstyle DC}$ does not vanish for $T\to 0$

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