Electronic Properties of the Insulating Half-Filled Hubbard Model

Monte Carlo results for the frequency dependent conductivity ${\sigma }_1\left(\omega \right)$, the angular resolved photoemission spectral weight $A(\mathbf{p},\omega )$, and the electron momentum distribution $〈n_{\mathbf{p}}〉$ are calculated for a half-filled Hubbard model with the on-site Coulomb interaction $U$ equal to the bandwidth $8t$. We find that even for $U=8t$, a spin-density-wave approximation provides a sensible description of this data and hence a useful picture of the electronic degrees of freedom in the insulating state.