标题： 确定大型分子纳米结构中电导零点的一般算法：应用于矩形石墨烯片 显示英文标题

标题： A General Algorithm For Determining The Conductivity Zeros In Large Molecular Nanostructures: Applications To Rectangular Graphene Sheets

摘要： 我们提出了一种算法来确定大型分子纳米结构（如石墨烯片）电导率的零点。为此，我们采用了逆图方法，通过连接两个原子位置的线段图形表示格林函数的非零值，以直观地显示导电性零点的存在，即缺失的线。在矩形石墨烯结构中，逆图的拓扑性质决定了两种类型的格林函数零点的存在，这些零点对应于在外加无序状态下具有不同行为的绝对导电性抵消。我们讨论了这些发现及其在某些特殊情况下的潜在应用。 显示英文摘要

摘要： We propose an algorithm for determining the zeros of the electric conductivity in large molecular nanonstructures such as graphene sheets. To this end, we employ the inverse graph method, whereby non-zeros of the Green's functions are represented graphically by a segment connecting two atomic sites, to visually signal the existence of a conductance zero as a line that is missing. In rectangular graphene structures the topological properties of the inverse graph determine the existence of two types of Green's function zeros that correspond to absolute conductance cancellations with distinct behavior in the presence of external disorder. We discuss these findings and their potential applications in some particular cases.