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arXiv · 1207.6702

Scattering resonances in graphene

V. U. Nazarov·V. M. Silkin·E. E. Krasovskii
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Abstract

We address the two-dimensional band-structure of graphene above the vacuum level in the context of discrete states immersed in the three-dimensional continuum. Scattering resonances are discovered that originate from the coupling of the in-plane and perpendicular motions, as elucidated by the analysis of an exactly solvable model. Some of the resonances turn into true bound states at high-symmetry $\kv$ vectors. {\it Ab initio} scattering theory verifies the existence of the resonances in realistic graphene and shows that they lead to a total reflection of the incident electron below and total transmission above the resonance energy.

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V. U. Nazarov, V. M. Silkin, E. E. Krasovskii. 2012-10-07. Scattering resonances in graphene. https://doi.org/10.1103/physrevb.87.041405

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