Rigorous Asymptotic Study of the Screened Electrostatic Potential in a Thin Dielectric Slab |
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Authors: | Didier Felbacq Emmanuel Rousseau |
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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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Keywords: | asymptotic analysis 2D materials excitons |
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