Quasiclassical calculations of Landau level spectrum for 20.5-nm-wide HgTe quantum well: “extremum loop” model and effects of cubic symmetry
S. V. Gudina1, A. S. Bogolubskiy1, V. N. Neverov1, K. V. Turutkin1, N. G. Shelushinina1, and M. V. Yakunin1,2
1M. N. Miheev Institute of Metal Physics of the Ural Branch of the Russian Academy of Sciences Ekaterinburg 620108, Russia
2Institute of Natural Sciences and Mathematics, Ural Federal University, Ekaterinburg 620002, Russia
Received September 15, 2020, published online November 24, 2020
Quasiclassical calculations of the effective mass and the spectrum of Landau levels have been carried out for carriers of the size-quantized H2 subband with a nonmonotonic dispersion law, which forms a valence band of 20.5-nm-wide HgTe quantum well with an inverted band structure. The model of the so-called “extremum loop”, previously developed by Rashba and Sheka for semiconductors with a wurtzite lattice, has been used for calculations. The results obtained are compared both with the empirical picture and with quantum-mechanical calculations of the Landau level spectrum for the HgTe quantum well in the semimetallic phase.
Key words: extremum loop, inverted band structure, quantum wells, semimetallic phase, Landau levels.