The problem of a size quantization for charge carriers in a planar quantum well consisting of different monolayers of transition metal dichalcogenides is solved using the Dirac model and the four-band model. For excitons, bound states of electrons and holes at the size quantization levels in such a quantum well, the energy spectrum was found in two cases: the Bohr radius is much smaller than the width of the quantum well (dielectric permeability of a substrate is relatively small) and the Bohr radius is much larger than it (the case of a strong dielectric screening). It is shown that the energy spectrum in these two cases is completely different. A method for the synthesis of the heterostructures under consideration is also proposed.
@article{arxiv.1905.05282,
title = {Excitons in planar quantum wells based on transition metal dichalcogenides},
author = {Pavel V. Ratnikov},
journal= {arXiv preprint arXiv:1905.05282},
year = {2020}
}