Mathematical Physics and Harmonic Analysis Seminar

Date: November 20, 2019

Time: 1:50PM - 2:50PM

Location: BLOC 624

Speaker: Rodrigo Bezerra Matos, MSU

Title: Localization in the disordered Hubbard model within Hartree-Fock theory

Abstract: After a brief and self-contained review of the results on Anderson localization in the non-interacting setting, we shall discuss recent developments on the interacting context. This will be done for the disordered Hubbard model within the Hartree-Fock theory, which is an approximation used to understand qualitatively the time evolution of a particle subject not only to a random environment but also to infinitely many interactions. There, we prove (single particle) localization at any dimension in the regime of large disorder and at any disorder in the one-dimensional case. This is joint work with Jeffrey Schenker.