The results of experimental studies of the Shubnikov–de Haas (SdH) effect in the $\left(013\right)\text{−}\mathrm{HgTe}/{\mathrm{Hg}}_{1-x}{\mathrm{Cd}}_x\mathrm{Te}$ quantum wells (QWs) of electron type of conductivity both with normal and inverted energy spectrum are reported. Comprehensive analysis of the SdH oscillations measured for the different orientations of magnetic field relative to the quantum well plane and crystallographic exes allows us to investigate the anisotropy of the Zeeman effect. For the QWs with inverted spectrum, it has been shown that the ratio of the spin splitting to the orbital one is strongly dependent not only on the orientation of the magnetic field relative to the QW plane but also on the orientation of the in-plane magnetic field component relative to crystallographic axes laying in the QW plane that implies the strong anisotropy of in-plane $g$-factor. In the QW with normal spectrum, this ratio strongly depends on the angle between the magnetic field and the normal to the QW plane and reveals a very slight anisotropy in the QW plane. To interpret the data, the Landau levels in the tilted magnetic field are calculated within the framework of four-band kP model. It is shown that the experimental results can be quantitatively described only with taking into account the interface inversion asymmetry.

• Received 20 August 2019
• Revised 4 February 2020
• Accepted 5 February 2020

DOI:https://doi.org/10.1103/PhysRevB.101.085305