  We develop a theory of circular photogalvanic effect (CPGE) for classically
high photon energies which exceed the electron scattering rate but are small
compared to the average electron kinetic energy. In this frequency range one
can calculate the CPGE by using two different approaches. In the fully
quantum-mechanical approach we find the photocurrent density by applying
Fermi's golden rule for indirect intraband optical transitions with virtual
intermediate states both in the conduction and valence bands. In the framework
of the semiclassical approach, we apply a generalized Boltzmann equation with
accounts for the Berry-curvature induced anomalous velocity, side jumps and
skew scattering. The calculation is carried out for a wurtzite symmetry
crystal. Both methods yield the same results for the CPGE current demonstrating
consistency between the two approaches and applicability of the semiclassical
theory for the description of nonlinear high-frequency transport.
