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Texas A&M University
Mathematics

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.