Quantum transport in topological insulators

该方案的主要目的是从理论上探索拓扑绝缘体材料和纳米结构的量子输运性质。这些性质是由拓扑、无序诱导的量子干涉和电子-电子相互作用的高度非平凡的相互作用决定的。我们将要发展的理论将给出输运特性的具体预测，包括它们对温度、磁场和偏置电压的依赖关系。我们将特别关注那些可能成为拓扑材料特征的性质。该提案由三个相互关联的部分(工作包)组成。第一部分研究了二维拓扑绝缘体中强相互作用螺旋态的输运性质。第二部分讨论由电子-电子相互作用或由电子与光的相互作用驱动的浮现拓扑态。第三部分是关于Weyl半金属的各种实现中的输运和磁输运。计划中的工作与许多实验小组最近、当前和计划中的活动密切相关，这些实验小组研究了SPP 1666中拓扑绝缘体和Weyl半金属的输运性质。将我们的预测与这些实验小组的测量结果进行比较，将是非常有用的。

The main goal of this proposal is to explore theoretically quantum transport properties of topological insulator materials and nanostructures. These properties are determined by a highly non-trivial interplay of topology, disorder-induced quantum interference, and electron-electron interaction. The theory that we are going to develop will give specific predictions for transport characteristics, including their dependence on temperature, magnetic fields, and bias voltage. Our particular interest will be devoted to those properties that may serve as hallmarks of topological materials. The proposal consists of three interrelated parts (Work Packages). The first part is concerned with the transport properties of strongly interacting helical states in 2D topological insulators. The second part deals with emergent topological states driven by electron-electron interaction or by interaction of electrons with light. The third part is devoted to transport and magnetotransport in various realizations of Weyl semimetals.The planned work has multiple close connections with recent, current, and planned activities by many experimental groups that study transport properties of topological insulators and Weyl semimetals within SPP 1666. Comparison of our predictions with measurements by these experimental groups will be highly useful.