Leibniz Group Seminar | June 27, 10:15
On the localization dichotomy for gapped quantum systems
In 2016 a localization dichotomy result for periodic Schrödinger operators has been proved. This result shows that the localization properties of the Wannier functions associated to a periodic Schrödinger operator are deeply connected to the topological properties of the quantum system. In this seminar I will start by discussing the generalization of Wannier functions and Chern number to non-periodic systems. After that, I will present some results regarding the generalization of the localization dichotomy to generic gapped quantum systems.
Massimo Moscolari, La Sapienza University of Rome
Seminarraum Theoretische Physik
Contact: not specified