4.6 Article

Scattering resonances in two-dimensional crystals with application to graphene

期刊

PHYSICAL REVIEW B
卷 87, 期 4, 页码 -

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AMER PHYSICAL SOC
DOI: 10.1103/PhysRevB.87.041405

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  1. National Science Council, Taiwan [100-2112-M-001-025-MY3]
  2. Spanish Ministerio de Ciencia e Innovacion [FIS2010-19609-C02-02]

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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. DOI: 10.1103/PhysRevB.87.041405

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