Drude weight and dc-conductivity of correlated electrons

Details Drude weight and dc-conductivity of correlated electrons Drude weight and dc-conductivity of correlated electrons

1995-04-05

arxiv.org/abs/cond-mat/9504017v1

Phys. Rev. B 52, 5617 (1995)

Physics

Condensed Matter

15 pages, uuencoded compressed PS-file

Scientific paper

10.1103/PhysRevB.52.5617

The Drude weight $D$ and the dc-conductivity $\sigma_{dc} (T)$ of strongly correlated electrons are investigated theoretically. Analytic results are derived for the homogeneous phase of the Hubbard model in $d = \infty$ dimensions, and for spinless fermions in this limit with $1/d$-corrections systematically included to lowest order. It is found that $\sigma_{dc}(T)$ is finite for all $T > 0$, displaying Fermi liquid behavior, $\sigma_{dc} \propto 1/T^2$, at low temperatures. The validity of this result for finite dimensions is examined by investigating the importance of Umklapp scattering processes and vertex corrections. A finite dc-conductivity for $T > 0$ is argued to be a generic feature of correlated lattice electrons in not too low dimensions.

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