### ?

## Photovoltaic Hall effect in the two-dimensional electron gas: Kinetic theory

We study theoretically transverse photoconductivity induced by circularly polarized radiation, i.e., the photovoltaic Hall effect, and linearly polarized radiation causing intraband optical transitions in the two-dimensional electron gas (2DEG). We develop a microscopic theory of these effects based on the analytical solution of the Boltzmann equation for arbitrary electron spectrum and scattering mechanisms. We calculate the transverse photoconductivity of 2DEG with parabolic and linear dispersion for short-range and Coulomb scatterers at different temperatures. We show that the transverse electric current is significantly enhanced at frequencies comparable to the inverse energy relaxation time, whereas at higher frequencies the excitation spectrum and the direction of current depend on the scattering mechanism. We also analyze the effect of thermalization processes caused by electron-electron collisions on the photoconductivity.