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

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

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