标题： 一种格林函数方法用于研究无质量狄拉克费米子通过随机散射体阵列的传输 显示英文标题

标题： A Green's function approach to transmission of massless Dirac fermions in graphene through an array of random scatterers

摘要： 我们考虑无质量的狄拉克费米子通过一组短程散射体的传输，这些散射体被建模为沿x轴随机定位的$\delta$-函数类势。 我们特别讨论了由无序引起的局域化，这是非相对论系统的特征，以及这种无质量狄拉克费米子的两个重要性质之间的相互作用，即在垂直入射时的完全传输和传输系数对势垒强度的周期性依赖，这导致了周期性共振传输。 这导致在δ函数势的共振和非共振强度下，电导率作为系统尺寸的函数表现出两种不同的行为。 我们通过使用基于格林函数的方法，通过这样的一对障碍物的传输来解释电导率的这种行为。 该方法有助于通过已知的光学现象（如法布里-珀罗共振）来理解这种无序传输。 显示英文摘要

摘要： We consider the transmission of massless Dirac fermions through an array of short range scatterers which are modeled as randomly positioned $\delta$- function like potentials along the x-axis. We particularly discuss the interplay between disorder-induced localization that is the hallmark of a non-relativistic system and two important properties of such massless Dirac fermions, namely, complete transmission at normal incidence and periodic dependence of transmission coefficient on the strength of the barrier that leads to a periodic resonant transmission. This leads to two different types of conductance behavior as a function of the system size at the resonant and the off-resonance strengths of the delta function potential. We explain this behavior of the conductance in terms of the transmission through a pair of such barriers using a Green's function based approach. The method helps to understand such disordered transport in terms of well known optical phenomena such as Fabry Perot resonances.