Quantitative Description of $V_2O_3$ by the Hubbard Model in Infinite Dimensions

Details Quantitative Description of $V_2O_3$ by the Hubbard Model in Infinite Dimensions Quantitative Description of $V_2O_3$ by the Hubbard Model in Infinite Dimensions

1995-06-06

arxiv.org/abs/cond-mat/9506022v1

Physics

Condensed Matter

9 pages, revtex, 4 figures upon request

Scientific paper

10.1209/epl/i1996-00361-2

We show that the analytic single-particle density of states and the optical conductivity for the half-filled Hubbard model on the Bethe lattice in infinite dimensions describe quantitatively the behavior of the gap and the kinetic energy ratio of the correlated insulator $V_2O_3$. The form of the optical conductivity shows $\omega^{3/2}$ rising and is quite similar to the experimental data, and the density of states shows $\omega^{1/2}$ behavior near the band edges.

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