  Metals with values of the resistivity and the Hall coefficient much larger
than typical ones, e.g., of sodium, are called semimetals. We suggest a model
for semimetals which takes into account the strong Coulomb repulsion of the
charge carriers, especially important in transition-metal and rare-earth
compounds. For that purpose we extend the Hubbard model by coupling one
additional orbital per site via hybridization to the Hubbard orbitals. We
calculate the spectral function, resistivity and Hall coefficient of the model
using dynamical mean-field theory. Starting from the Mott-insulating state, we
find a transition to a metal with increasing hybridization strength
(``self-doping''). In the metallic regime near the transition line to the
insulator the model shows semimetallic behavior. We compare the calculated
temperature dependence of the resistivity and the Hall coefficient with the one
found experimentally for $\rm Yb_4As_3$. The comparison demonstrates that the
anomalies in the transport properties of $\rm Yb_4As_3$ possibly can be
assigned to Coulomb interaction effects of the charge carriers not captured by
standard band structure calculations.
