Excitons in planar quantum wells based on transition metal dichalcogenides

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 spectra in these two cases are completely different. A method for the synthesis of the heterostructures under consideration is also proposed.