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Renormalization of the conduction band spectrum in HgTe quantum wells by electron-electron interaction

Materials Science 2023-08-02 v1 Mesoscale and Nanoscale Physics

Abstract

The energy spectrum of the conduction band in HgTe/Cdx_xHg1x_{1-x}Te quantum wells of a width d=(4.620.2)d=(4.6-20.2) nm has been experimentally studied in a wide range of electron density. For this purpose, the electron density dependence of the effective mass was measured by two methods: by analyzing the temperature dependence of the Shubnikov-de Haas oscillations and by means of the quantum capacitance measurements. There was shown that the effective mass obtained for the structures with d<dcd<d_c, where dc6.3d_c\simeq6.3 nm is a critical width of quantum well corresponding to the Dirac-like energy spectrum, is close to the calculated values over the whole electron density range; with increasing width, at d>(78)d>(7-8) nm, the experimental effective mass becomes noticeably less than the calculated ones. This difference increases with the electron density decrease, i.e., with lowering the Fermi energy; the maximal difference between the theory and experiment is achieved at d=(1518)d = (15-18) nm, where the ratio between the calculated and experimental masses reaches the value of two and begins to decrease with a further dd increase. We assume that observed behavior of the electron effective mass results from the spectrum renormalization due to electron-electron interaction.

Keywords

Cite

@article{arxiv.1805.09538,
  title  = {Renormalization of the conduction band spectrum in HgTe quantum wells by electron-electron interaction},
  author = {G. M. Minkov and V. Ya. Aleshkin and O. E. Rut and A. A. Sherstobitov and A. V. Germanenko and S. A. Dvoretski and N. N. Mikhailov},
  journal= {arXiv preprint arXiv:1805.09538},
  year   = {2023}
}

Comments

8 pages, 10 figures