石墨烯中电子的 Lévy flight：从超扩散到扩散输运的转变
A Lévy flight for electrons in graphene: superdiffusive-to-diffusive transport transition
AI总结：
本文提出含幂律直径圆形静电簇的石墨烯纳米带电子 Lévy flight 器件，数值揭示能量升高时输运由超扩散转为扩散，并归因于远离 Dirac 点导致的手性对称性破缺。
摘要：
在本工作中，我们提出一种电子 Lévy flight 器件，类似于近期的一种光学实现。为此，我们研究了在存在圆形静电簇的情况下石墨烯纳米带中的电子透射，这些静电簇的直径服从幂律分布。我们依据其扩散行为，分析了静电簇对纳米带电子输运区间的影响。数值计算表明，随着能量增加，圆形静电簇的存在会诱导从 Lévy（超扩散）输运到扩散输运的转变。此外，我们认为，在我们的电子 Lévy flight 器件中，超扩散输运是低能量子区间的独有特征，而扩散输运则是半经典区间的特征。因此，一旦能量远离石墨烯的 Dirac 点，我们将观察到的转变归因于手性对称性破缺。
英文摘要：
In this work we propose an electronic Lévy flight device, analogous to a recent optical realization. To that end, we investigate the transmission of electrons in graphene nanoribbons in the presence of circular electrostatic clusters, whose diameter follow a power-law distribution. We analyze the effect of the electrostatic clusters on the electronic transport regime of the nanoribbons, in terms of its diffusion behavior. Our numerical calculations show that the presence of circular electrostatic clusters induces a transition from Lévy (superdiffusive) to diffusive transport as the energy increases. Furthermore, we argue that in our electronic Lévy flight device, superdiffusive transport is an exclusive feature of the low-energy quantum regime, while diffusive transport is a feature of the semiclassical regime. Therefore, we attribute the observed transition to the chiral symmetry breaking, once the energy moves away from the Dirac point of graphene.
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