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Rigorous Asymptotic Study of the Screened Electrostatic Potential in a Thin Dielectric Slab
Author(s) -
Felbacq Didier,
Rousseau Emmanuel
Publication year - 2019
Publication title -
annalen der physik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.009
H-Index - 68
eISSN - 1521-3889
pISSN - 0003-3804
DOI - 10.1002/andp.201800486
Subject(s) - bohr radius , exciton , slab , coulomb , dielectric , computation , bohr model , radius , binding energy , physics , condensed matter physics , quantum mechanics , materials science , electron , mathematics , geophysics , computer security , algorithm , computer science
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.