Microscopic Investigation of quantum Hall effect

量子霍尔系统是相互作用电子系统研究的典范，因为它们表现出简单的能带结构，并允许调节决定参数，如电子密度和磁场。在这个项目中，我们将使用扫描隧道光谱在真实空间中研究基于InSb和石墨烯的量子霍尔系统。在连续测量单个朗道能级内的渗流局域态密度、朗道波函数的内部结构以及对短程和长程电子相互作用的定量探测的基础上，我们将主要处理真实空间中的相互作用系统。正在进行的向石墨烯的转变将允许调整电子密度，并直接比较同一样品的输运和STS性质。

Quantum Hall systems are paradigmatic with respect to the study of interacting electron systems, since they exhibit a simple band structure and allow to tune decisive parameters as electron density and magnetic field. Within this project, we will investigate quantum Hall systems based on InSb and graphene in real space using scanning tunnelng spectroscopy. Based on succesfull measurements of the percolating local density of states within a single Landu level, of the inner structure of Landau wave functions und the quantitative probing of short and long range electron electron interactions, we will tackle primarily interacting systems in real space. The ongoing transition towards graphene will allow tuning of the electron density and a direct comparison between transport and STS properties of the same sample.