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arXiv 1207.6702cond-mat.mes-hall
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石墨烯中的散射共振

Scattering resonances in graphene

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

摘要:

我们解决的二维能带结构的石墨烯以上的真空水平的背景下,沉浸在三维连续的离散状态。散射共振被发现,起源于平面内和垂直运动的耦合,阐明了一个精确可解模型的分析。一些共振在高对称性$\kv$矢量处转变为真正的束缚态。{ \it Ab initio}散射理论验证了实际石墨烯中共振的存在,并表明它们导致入射电子在共振能量以下的全反射和在共振能量以上的全透射。

英文摘要:

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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