1：Experimental Design and Method Selection:

The study involved illuminating HgTe-based quantum well structures with terahertz radiation and measuring the induced photoconductivity and magnetoresistance oscillations. The experiments were conducted on samples with different quantum well widths and band structures, using both Hall bar and Corbino geometries.

2：Sample Selection and Data Sources:

Samples included HgTe/CdHgTe heterostructures with quantum well widths ranging from 5 to 20 nm, characterized by normal, inverted, and linear band dispersions. Electron densities and mobilities were determined from magnetotransport measurements.

3：List of Experimental Equipment and Materials:

A continuous wave terahertz molecular gas laser was used for illumination, with frequencies of 0.69, 1.63, and 2.54 THz. Samples were mounted in a temperature-regulated cryostat for measurements at various temperatures and magnetic fields up to 7 T.

4：69, 63, and 54 THz. Samples were mounted in a temperature-regulated cryostat for measurements at various temperatures and magnetic fields up to 7 T. Experimental Procedures and Operational Workflow:

4. Experimental Procedures and Operational Workflow: Photoconductivity was measured using either a dc-photoconductivity or double-modulation setup, with applied currents ranging between 10^-7 and 2 × 10^-5 A. The photoresponse was extracted by subtracting signals obtained for opposite polarities of the dc bias or by using a double-modulation technique.

5：Data Analysis Methods:

The photoconductivity and photoresistivity signals were analyzed to identify MIRO-like oscillations and sign-alternating photoresponse. The positions of cyclotron resonance and its harmonics were determined from transmission measurements.