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One-dimensional potential for image-potential states on graphene

AutorAndrés, Pedro L. de ; Echenique, Pedro M. ; Niesner, D.; Fauster, Th.; Rivacoba, Alberto
Fecha de publicación2014
EditorInstitute of Physics Publishing
CitaciónNew Journal of Physics 16: 023012 (2014)
ResumenIn the framework of dielectric theory, the static non-local self-energy of an electron near an ultra-thin polarizable layer has been calculated and applied to study binding energies of image-potential states near free-standing graphene. The corresponding series of eigenvalues and eigenfunctions have been obtained by numerically solving the one-dimensional Schrödinger equation. The image-potential state wave functions accumulate most of their probability outside the slab. We find that the random phase approximation (RPA) for the non-local dielectric function yields a superior description for the potential inside the slab, but a simple Fermi-Thomas theory can be used to get a reasonable quasi-analytical approximation to the full RPA result that can be computed very economically. Binding energies of the image-potential states follow a pattern close to the Rydberg series for a perfect metal with the addition of intermediate states due to the added symmetry of the potential. The formalism only requires a minimal set of free parameters: the slab width and the electronic density. The theoretical calculations are compared with experimental results for the work function and image-potential states obtained by two-photon photoemission. © 2014 IOP Publishing and Deutsche Physikalische Gesellschaft.
DescripciónContent from this work may be used under the terms of the Creative Commons Attribution 3.0 licence.
Versión del editorhttp://dx.doi.org/10.1088/1367-2630/16/2/023012
Identificadoresdoi: 10.1088/1367-2630/16/2/023012
issn: 1367-2630
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