Quantitative Description of $V_2{O}_3$ 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 $V_2{O}_3$. 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.

9 pages, revtex, 4 figures upon request

References in corpus (5)

• Correlated Electrons in High Temperature Superconductors
• The Hubbard Model at Infinite Dimensions: Thermodynamic and Transport Properties
• Optical Conductivity in Mott-Hubbard Systems
• Transport Properties of the Infinite Dimensional Hubbard Model
• Analytic Treatment of Mott-Hubbard Transition in the Half-Filled Hubbard Model

Cited by in corpus (2)

• Strong correlation effects in the doped Hubbard model in infinite dimensions
• Temperature and Pressure Effects on the Resistivity of the Manganese Oxides