Data from: The influence of disorder on the exciton spectra in two-dimensional structures

We study the joint effect of disorder and Coulomb interaction screening on
the exciton spectra in two-dimensional (2D) structures. These can be van
der Waals structures or heterostructures of organic (polymeric)
semiconductors as well as inorganic substances like transition metal
dichalcogenides. We consider 2D screened hydrogenic problem with Rytova -
Keldysh interaction by means if so-called fractional Scrodinger equation.
Our main finding is that above synergy between screening and disorder
either destroys the exciton (strong screening) or promote the creation of
a bound state, leading to its collapse in the extreme case. Our second
finding is energy levels crossing, i.e. the degeneracy (with respect to
index µ) of the exciton eigenenergies at certain discrete value of
screening radius. Latter effects may also be related to the quantum
manifestations of chaotic exciton behavior in above 2D semiconductor
structures. Hence, they should be considered in device applications, where
the interplay between dielectric screening and disorder is important.