On the surface electromagnetic waves in single-layer metal-like materials

Abstract

Surface electromagnetic waves in single-layer metal-like materials (such as graphene and borophene) in planar and cylindrical geometries are studied. Expressions for the permittivity tensor, dispersion relations, and vibrational spectra are obtained under conditions when the spatial dispersion can be neglected. It is shown that vibrations of two types exist in single-layer materials: bulk-type vibrations with a field localized on the surface and surface-type vibrations in which the field exponentially decrease on both sides beyond the surface.