  We report on the observation of magneto-oscillations of terahertz radiation
induced photocurrent in HgTe/HgCdTe quantum wells (QWs) of different widths,
which are characterized by a Dirac-like, inverted and normal parabolic band
structure. The photocurrent data are accompanied by measurements of
photoresistance (photoconductivity), radiation transmission, as well as
magneto-transport. We develop a microscopic model of a cyclotron-resonance
assisted photogalvanic effect, which describes main experimental findings. We
demonstrate that the quantum oscillations of the photocurrent are caused by the
crossing of Fermi level by Landau levels resulting in the oscillations of spin
polarization and electron mobilities in spin subbands. Theory explains a
photocurrent direction reversal with the variation of magnetic field observed
in experiment. We describe the photoconductivity oscillations related with the
thermal suppression of the Shubnikov-de Haas effect.
