Mathematical Physics and Harmonic Analysis Seminar
Date: November 18, 2022
Time: 1:50PM - 2:50PM
Location: BLOC 306
Speaker: Jorge Villalobos, LSU
Title: Embedded eigenvalues for discrete magnetic Schrodinger operators
Abstract: Reducibility of the Fermi surface for a periodic operator is a key for the existence of embedded eigenvalues caused by a local defect. We consider a discrete model for a multilayer quantum system, such as stacked graphene, subject to a perpendicular magnetic field. Some techniques for constructing embedded eigenvalues extend from non-magnetic operators to magnetic ones, but the magnetic case is more complex because a typical magnetic operator on a periodic graph is merely quasi-periodic.