This M2 internship is intended to be pursued as a PhD work. We aim here to study simple model 2D materials that present Mott physics using local spectroscopy probe such as low-temperature scanning tunneling microscopy/spectroscopy. This means that our 2D materials undergo strong electronic correlations that prevent them from being good metals. Instead an insulating state occurs called a Mott insulator, that usually orders antiferromagnetically at low temperature. Exciting new phases can be achieved upon doping these materials, as discovered in high-temperature cuprate superconductors. There are two main aspects of the long term project. First the role of the coupling of the 2D material to its supporting substrate is usually overlooked. This is what we plan to study during the internship with the material 1/3 monolayer of Pb/Ge(111) for which we obtained nice preliminary results. The second long term objective of this project is to dope the Sn/Si(111) phase, that we have shown recently to be a 2D Mott insulator (https://arxiv.org/abs/2603.26304), in order to induce and identify new unconventionnal superconducting phases.