Date Sep 26, 2023, 4:30 pm – 5:30 pm Location Jadwin Hall A-07 Share on X Share on Facebook Share on LinkedIn Speaker Margherita Disertori Affiliation University of Bonn Presentation Phase transition in the Integrated Density of States of the Anderson model arising from a supersymmetric sigma model Details Event Description Localization/delocalization transition in random Schrödinger operators cannot in general be seen from the behavior of the corresponding Integrated Density of States (IDS). Here we consider a random Schrödinger operator appearing in the study of certain reinforced random processes in connection with a supersymmetric sigma-model, and show that the IDS undergoes a phase transition between weak and strong disorder regime in dimension larger or equal to three. This transition follows from a phase transition in the corresponding random process and supersymmetric sigma-model. Sponsor Department of Physics