  We report on the observation of cyclotron resonance induced photocurrents,
excited by continuous wave terahertz radiation, in a 3D topological insulator
(TI) based on an 80 nm strained HgTe film. The analysis of the photocurrent
formation is supported by complimentary measurements of magneto-transport and
radiation transmission. We demonstrate that the photocurrent is generated in
the topologically protected surface states. Studying the resonance response in
a gated sample we examined the behavior of the photocurrent, which enables us
to extract the mobility and the cyclotron mass as a function of the Fermi
energy. For high gate voltages we also detected cyclotron resonance (CR) of
bulk carriers, with a mass about two times larger than that obtained for the
surface states. The origin of the CR assisted photocurrent is discussed in
terms of asymmetric scattering of TI surface carriers in the momentum space.
Furthermore, we show that studying the photocurrent in gated samples provides a
sensitive method to probe the effective masses and the mobility of 2D Dirac
surface states, when the Fermi level lies in the bulk energy gap or even in the
conduction band.
