Continuum and discrete models of waves in 2D materials

Date: 
Friday, March 12, 2021 - 3:00pm
Location: 
Zoom
Speaker: 
Michael Weinstein

Abstract: We discuss continuum Schroedinger operators which are basic models of 2D-materials, like graphene, in its bulk form or deformed by edges (sharp terminations or domain walls). For non-magnetic and strongly non-magnetic systems we discuss the relationship to effective tight binding (discrete) Hamiltonians through a result on strong resolvent convergence. An application of this convergence is a result on the equality of topological (Fredholm) indices associated with continuum and discrete models (for bulk and edge systems). Finally, we discuss the construction of edge states in continuum systems with domain walls.

Please access the talk through the Research Seminars page ( https://researchseminars.org/seminar/MO_Analysis ); you will need to register for a free account. If you have any difficulty, please contact Samuel Walsh (walshsa@missouri.edu).