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Título: | One-dimensional potential for image-potential states on graphene |
Autor: | Andrés, Pedro L. de CSIC ORCID CVN; Echenique, Pedro M. CSIC ORCID; Niesner, D.; Fauster, Th.; Rivacoba, Alberto CSIC ORCID | Fecha de publicación: | 2014 | Editor: | Institute of Physics Publishing | Citación: | New Journal of Physics 16: 023012 (2014) | Resumen: | In 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. | Descripción: | Content from this work may be used under the terms of the Creative Commons Attribution 3.0 licence. | Versión del editor: | http://dx.doi.org/10.1088/1367-2630/16/2/023012 | URI: | http://hdl.handle.net/10261/95158 | DOI: | 10.1088/1367-2630/16/2/023012 | Identificadores: | doi: 10.1088/1367-2630/16/2/023012 issn: 1367-2630 |
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