# Excitons in planar quantum wells based on transition metal dichalcogenides

## TL;DR

This paper investigates exciton energy spectra in planar quantum wells made of transition metal dichalcogenides using Dirac and four-band models, revealing distinct spectra based on dielectric screening conditions.

## Contribution

It introduces a theoretical analysis of excitons in TMD quantum wells considering different dielectric environments and proposes a synthesis method for such heterostructures.

## Key findings

- Energy spectrum differs significantly between small and large Bohr radius cases.
- Theoretical models successfully describe exciton states in TMD quantum wells.
- A synthesis method for TMD heterostructures is proposed.

## Abstract

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.