Anisotropic Keldysh interaction

Abstract

We generalize the classic calculations by Rytova and Keldysh of screened Coulomb interaction in semiconductor thin films to systems with anisotropic permittivity tensor. Explicit asymptotic expressions for electrostatic potential energy of interaction in the weakly anisotropic case are found in closed analytical form. The case of strong in-plane anisotropy, however, requires evaluation of the inverse Fourier transform of $1/(k+A{k}_x^2+B{k}_y^2)$, which, at present, remains unresolved.

11 pages, 6 figures; revised, accepted version

References in corpus (6)

• Plasmons and screening in monolayer and multilayer black phosphorus
• Diffusion quantum Monte Carlo study of excitonic complexes in two-dimensional transition-metal dichalcogenides
• Screened potential of a point charge in a thin film
• Anisotropic exciton Stark shift in black phosphorus
• Mid-wave and Long-wave IR Linear Dichroism in a Hexagonal Perovskite Chalcogenide
• Electrostatics of electron-hole interactions in van der Waals heterostructures

Cited by in corpus (2)

• Anisotropic Stark shift, field-induced dissociation, and electroabsorption of excitons in phosphorene
• Exciton Binding Energies in 2D Materials: Insights from Braneworld Physics