2019
DOI: 10.1016/j.physleta.2019.07.002
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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 + Ak 2x + Bk 2 y ), which, at present, remains unresolved.

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Cited by 2 publications
(3 citation statements)
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“…The resulting dielectric function agrees with the one in Ref. [68]. Note that the interaction only depends on the dielectric constants of the surrounding media via their geometrical mean.…”
Section: Appendix A: Anisotropic Poisson Equationsupporting
confidence: 86%
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“…The resulting dielectric function agrees with the one in Ref. [68]. Note that the interaction only depends on the dielectric constants of the surrounding media via their geometrical mean.…”
Section: Appendix A: Anisotropic Poisson Equationsupporting
confidence: 86%
“…This problem was considered in Ref. [68], where the aim was to obtain closed form expressions for the case of weak anisotropy. In this appendix, we shall not assume weak anisotropy but rather try to obtain as simple an expression for the anisotropic interaction as possible.…”
Section: Appendix A: Anisotropic Poisson Equationmentioning
confidence: 99%
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