Mott-Hubbard Metal-Insulator Transition in Paramagnetic $V_2{O}_3$: An $LDA+DMFT\left(\mathrm{QMC}\right)$ Study

The electronic properties of paramagnetic ${\mathrm{V}}_2{\mathrm{O}}_3$ are investigated by the computational scheme $\mathrm{LDA}+\mathrm{DMFT}\left(\mathrm{QMC}\right)$. This approach merges the local density approximation (LDA) with dynamical mean-field theory (DMFT) and uses quantum Monte Carlo simulations (QMC) to solve the effective Anderson impurity model of DMFT. Starting with the crystal structure of metallic ${\mathrm{V}}_2{\mathrm{O}}_3$ and insulating $({\mathrm{V}}_{0.962}{\mathrm{Cr}}_{0.038}{)}_2{\mathrm{O}}_3$ we find a Mott-Hubbard transition at a Coulomb interaction $U\approx 5\mathrm{eV}$. The calculated spectrum is in very good agreement with experiment. Furthermore, the orbital occupation and the spin state $S=1\mathrm{}$ determined by us agree with recent polarization dependent x-ray-absorption experiments.