Conductivity of interacting spinless fermion systems via the high dimensional approach

Abstract

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 $σ(\om)$ 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, ${\sigma }_{\mathrm{DC}}$ does not vanish for $T\to 0$

Latex, 4 pages

References in corpus (2)

• The Hubbard Model at Infinite Dimensions: Thermodynamic and Transport Properties
• Transport Properties of the Infinite Dimensional Hubbard Model

Cited by in corpus (1)

• Conductivity in a symmetry broken phase: Spinless fermions with $1/d$ corrections