Scattering resonances in two-dimensional crystals with application to graphene

V. U. Nazarov*, E. E. Krasovskii, V. M. Silkin

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

37 Scopus citations


We address the band structure of two-dimensional crystals 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 k vectors. 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.

Original languageAmerican English
Article number041405
JournalPhysical Review B - Condensed Matter and Materials Physics
Issue number4
StatePublished - 22 Jan 2013
Externally publishedYes


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