Rigorous Asymptotic Study of the Screened Electrostatic Potential in a Thin Dielectric Slab

Didier Felbacq (1) , Emmanuel Rousseau (1)

1 L2C - Laboratoire Charles Coulomb

The screened Coulomb potential plays a crucial role in the binding energies of excitons in a thin dielectric slab. The asymptotic behavior of this potential is studied when the thickness of the slab is very small as compared to the exciton Bohr radius. A regularized expression is given and the exact effective 2D potential is derived. These expressions may be useful for the computation of the exciton binding energy in 2D or quasi‐2D materials.

Mots clés: asymptotic analysis; 2D materials; excitons

Domaines: Science des matériaux [cond-mat.mtrl-sci]; Thermique [physics.class-ph]

Didier Felbacq, Emmanuel Rousseau. Rigorous Asymptotic Study of the Screened Electrostatic Potential in a Thin Dielectric Slab. Annalen der Physik, 2019, ICPS 2018 – Advances in Physics of Semiconductors, 531 (6), pp.1800486. ⟨10.1002/andp.201800486⟩. ⟨hal-02302374⟩