Transport Properties of the Infinite Dimensional Hubbard Model

Details Transport Properties of the Infinite Dimensional Hubbard Model Transport Properties of the Infinite Dimensional Hubbard Model

1992-08-05

arxiv.org/abs/cond-mat/9208002v1

Physics

Condensed Matter

14 pages

Scientific paper

10.1209/0295-5075/21/5/015

Results for the optical conductivity and resistivity of the Hubbard model in infinite spatial dimensions are presented. At half filling we observe a gradual crossover from a normal Fermi-liquid with a Drude peak at $\omega=0$ in the optical conductivity to an insulator as a function of $U$ for temperatures above the antiferromagnetic phase transition. When doped, the ``insulator'' becomes a Fermi-liquid with a corresponding temperature dependence of the optical conductivity and resistivity. We find a $T^2$-coefficient in the low temperature resistivity which suggests that the carriers in the system acquire a considerable mass-enhancement due to the strong local correlations. At high temperatures, a crossover into a semi-metallic regime takes place.

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