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We report on the observation of terahertz radiation induced photoconductivityand of terahertz analog of the microwave-induced resistance oscillations (MIRO)in HgTe-based quantum well (QW) structures of different width. The MIRO-likeeffect has been detected in QWs of 20 nm thickness with inverted band structureand a rather low mobility of about 3 $\times$ 10$^5$ cm$^2$/V s. In a number ofother structures with QW widths ranging from 5 to 20 nm and lower mobility weobserved an unconventional non-oscillatory photoconductivity signal whichchanges its sign upon magnetic field increase. This effect was observed instructures characterized by both normal and inverted band ordering, as well asin QWs with critical thickness and linear dispersion. In samples having Hallbar and Corbino geometries an increase of the magnetic field resulted in asingle and double change of the sign of the photoresponse, respectively. Weshow that within the bolometric mechanism of the photoresponse these unusualfeatures imply a non-monotonic behavior of the transport scattering rate, whichshould decrease (increase) with temperature for magnetic fields below (above)the certain value. This behavior is found to be consistent with the results ofdark transport measurements of magnetoresistivity at different sampletemperatures. Our experiments demonstrate that photoconductivity is a verysensitive probe of the temperature variations of the transport characteristics,even those that are hardly detectable using standard transport measurements.

Sign-alternating photoconductivity and magnetoresistance oscillations induced by terahertz radiation in HgTe quantum wells