  We apply a method that combines the tight-binding approximation and the
Lowdin down-folding procedure to evaluate the electronic band structure of the
newly discovered pressure-induced superconductor CrAs. By integrating out all
low-lying arsenic degrees of freedom, we derive an effective Hamiltonian model
describing the Cr d bands near the Fermi level. We calculate and make
predictions for the energy spectra, the Fermi surface, the density of states
and transport and magnetic properties of this compound. Our results are
consistent with local-density approximation calculations as well as they show
good agreement with available experimental data for resistivity and Cr magnetic
moment.
