Transporteigenschaften von Graphen

在这个项目中，我们打算研究具有两个能带和粒子-空穴对称性的二维电子系统的输运性质。这类物理体系的一个突出例子是石墨烯，其他的是拓扑绝缘体的表面态。在第一部分中，我们建议研究狄拉克节点附近的电学和光学性质，节点间散射的影响以及由周期势产生的附加节点的影响。在第二部分中，应该研究远离狄拉克节点的传输特性，特别是在节点结构的鞍点附近。最后，这一建议的第三部分涉及石墨烯结构不稳定性附近的输运，这是由电子-声子相互作用引起的。这项工作将基于解析场理论方法和数值传递矩阵计算。这两种方法都是在本项目的第一阶段开发和测试的，有可能得到更广泛的应用。这项建议与我们在“运输·冯·图文”项目的第一阶段所取得的成果有关，是对我们先前研究的系统扩展。其目标是提供对一类新材料的基本性质的洞察，这些材料在电子和光学应用方面具有巨大潜力。

In this project we propose to study transport properties of two-dimensional electronic systems with two bands and particle-hole symmetry. A prominent example of this class of physical systems is graphene, others are surface states of topological insulators. In the first part we propose to study electronic and optical properties near Dirac nodes, the influence of internode scattering and the effect of additional nodes, created by periodic potentials. In a second part the transport properties away from the Dirac nodes should be investigated, in particular, near the saddle points of the node structure. And finally, a third part of this proposal deals with the transport near structural instabilities in graphene, which are caused by electron-phonon interaction. This work will be based on analytic field-theoretical methods and numerical transfer-matrix calculations. Both approaches have been developed and tested in the first period of this project and have the potential for more general applications. The proposal is related to the results we have obtained during the first period of the project on "Transporteigenschaften von Graphen" and presents a systematic extension of our previous research. The goal is to provide an insight into the fundamental properties of a new class of materials that have a large potential for electronic and optical applications.