Localization in interacting fermions with quasiperiodic disorder

by Vieri Mastropietro (Università di Milano)

Wednesday 3 Feb 2021, 14:30 → 16:00 Europe/Rome

Dipartimento di Fisica

Disorder in condensed matter can be represented by a random or a quasi-periodic potential, the second choice appearing naturally in cold atoms experiments.  We consider a system of fermions on a lattice in d-dimensions with a many body interaction and a quasi-periodic disorder.

We prove that localization at strong disorder persists in the ground state in presence of a many body interaction.  The proof relies on a combination of Renormalization Group methods with number theoretical properties (Diophantine conditions) similar to the ones assumed in KAM theory.

Link per il collegamento: https://meet.google.com/pip-kvzt-fkz