论文标题
构建Sierpinski-Triangles分子系统中的电子分形图案
Electronic fractal patterns in building Sierpinski-triangles molecular systems
论文作者
论文摘要
Sierpinski三角形（ST）是一种分形数学结构，用于探索不同几何形状和浓缩物质尺寸的晶格中平坦带的出现。在这里，我们研究了模拟实验合成的分形纳米结构的ST片和分子链的电子特性中的分形特征。我们使用单一轨道紧密结合模型来研究电子状态的分形特性和Landauer形式主义，以探索准1D分子链的转运响应。发现能量状态的自相似性比较了不同的ST订单，并放大了薄片和准1D系统所研究的能量范围。特别是，此处提出的理论分子链状态局部密度的结果表现出非常相似的实验STM报告的空间电荷分布。这种全碳分形分子链的转运响应分析可以用作指南，以在合成真正的新分子链中提出各种结构。
The Sierpinski Triangle (ST) is a fractal mathematical structure that has been used to explore the emergence of flat bands in lattices of different geometries and dimensions in condensed matter. Here we look into fractal features in the electronic properties of ST flakes and molecular chains simulating experimental synthesized fractal nanostructures. We use a single-orbital tight binding model to study fractal properties of the electronic states and the Landauer formalism to explore transport responses of the quasi 1D molecular chains. The self-similarity of the energy states are found comparing different ST orders and also amplifying the energy ranges investigated, for both flakes and quasi-1D systems. In particular, the results for the local density of states of the theoretical molecular chains proposed here exhibit quite similar spatial charge distribution of experimental STM reports. The analysis of transport response of such all-carbon fractal molecular chains can be used as a guide to propose a variety of architecture in the synthesis of real new molecular chains.
