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

Abstract

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 $ω^{3/2}$ rising and is quite similar to the experimental data, and the density of states shows $ω^{1/2}$ behavior near the band edges.