One-dimensional potential for image-potential states on graphene

  title={One-dimensional potential for image-potential states on graphene},
  author={Pedro de Andres and Pedro Miguel Echenique and Daniel Niesner and Thomas Fauster and Alberto Rivacoba},
  journal={arXiv: Materials Science},
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-states near free-standing graphene. The corresponding series of eigenvalues and eigenfunctions have been obtained by solving numerically the one-dimensional Schr{\"o}dinger equation. Image-potential-state wave functions accumulate most of their probability outside the slab. We find that a Random Phase… 

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