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Energy spectra both of the conduction and valence bands of the HgTe quantumwells with a width close to the Dirac point were studied experimentally.Simultaneous analysis of the Shubnikov-de Haas oscillations and Hall effectover a wide range of electron and hole densities gives surprising result: thetop of the valence band is strongly split by spin-orbit interaction while thesplitting of the conduction band is absent, within experimental accuracy.Astonishingly, but such a ratio of the splitting values is observed as forstructures with normal spectrum so for structures with inverted one. Theseresults do not consistent with the results of kP calculations, in which thesmooth electric filed across the quantum well is only reckoned in. It is shownthat taking into account the asymmetry of the quantum well interfaces within atight-binding method gives reasonable agreement with the experimental data.

Spin-orbit splitting of valence and conduction bands in HgTe quantum wells near the Dirac point