Microscopic Investigation of quantum Hall effect

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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.