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Electrostatic responses of anisotropic dielectric films

Deng, Hai-Yao 2020. Electrostatic responses of anisotropic dielectric films. European Journal of Physics 41 (3) , 035203. 10.1088/1361-6404/ab806c

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Abstract

We study the electrostatic responses (i.e. retardation effects due to the propagation of electromagnetic waves are ignored) of a linear homogeneous and anisotropic (LHA) dielectric film to an arbitrary external electrostatic potential. A set of algebraic equations has been established to calculate the polarisation charges induced in the film. In our derivation, the idea is exploited that a physical boundary can be looked upon as a region of rapid variation in polarisation rather than a simple geometric separation. With this no boundary conditions are needed in solving the relevant electrostatics problem. Our approach makes it clear that the responses consist of two contributions, one arising from the very presence of surfaces while the other existing even in an infinite medium. In light of the results, we discuss graphene plasma waves under the influence of a LHA dielectric film such as a few-layer hexagonal boron nitride. It is found that the dispersion of these waves is strongly affected by the anisotropy at wavelengths comparable to the film thickness.

Item Type: Article
Date Type: Publication
Status: Published
Schools: Physics and Astronomy
Publisher: IOP Publishing: Hybrid Open Access
ISSN: 0143-0807
Date of First Compliant Deposit: 30 April 2020
Date of Acceptance: 17 March 2020
Last Modified: 04 May 2020 10:00
URI: https://orca.cardiff.ac.uk/id/eprint/131334

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