标题： 石墨烯中N共振的法诺物理机制 显示英文标题

标题： Fano physics behind the N-resonance in graphene

摘要： 在[Phys$.$Rev$.$ B 87, 041405(R) (2013)]中预测的二维晶体未占据连续谱中的束缚态和散射共振，在一个精确可解模型中被考虑。 观察到的共振与Fano理论中出现的共振之间存在密切联系。 当横向散射将层垂直入射电子波耦合到一个严格束缚态时会发生共振。 耦合强度决定了散射振幅在复能平面上的极点位置，这被解析地证明会导致电子通过晶体的透射率的能量依赖性的特征Fano线型。 讨论了共振散射的时间意义。 通过石墨烯单层的第一性原理计算说明了分析结果。 显示英文摘要

摘要： Bound states and scattering resonances in the unoccupied continuum of a two-dimensional crystal predicted in [Phys$.$Rev$.$ B 87, 041405(R) (2013)] are considered within an exactly solvable model. A close connection of the observed resonances with those arising in the Fano theory is revealed. The resonance occurs when the lateral scattering couples the layer-perpendicular incident electron wave to a strictly bound state. The coupling strength determines the location of the pole in the scattering amplitude in the complex energy plane, which is analytically shown to lead to a characteristic Fano-lineshape of the energy dependence of the electron transmissivity through the crystal. The implications for the timing of the resonance scattering are discussed. The analytical results are illustrated by ab initio calculations for a graphene monolayer.