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

TL;DR

This paper demonstrates that the Hubbard model in infinite dimensions accurately captures the electronic properties of the correlated insulator V2O3, including the gap and optical conductivity behavior, aligning well with experimental observations.

Contribution

It provides a quantitative analysis of V2O3's electronic properties using the Hubbard model in infinite dimensions, matching experimental data.

Findings

Optical conductivity exhibits ω^{3/2} rise near the gap.

Density of states shows ω^{1/2} behavior at band edges.

Model accurately predicts gap and kinetic energy ratio.

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