Address :
Office I009, Bâtiment IUniversity of Angers, Faculté des sciences, LAREMA
2, Boulevard de Lavoisier 49000 Angers, FRANCE
Contact
University of Angers, Faculté des sciences, LAREMA
2, Boulevard de Lavoisier 49000 Angers, FRANCE
Email :
eric.vacelet@univ-angers.fr
PhD Student in Mathematics, LAREMA, University of Angers
Thesis subject : Semiclassical analysis of two-band models
This thesis is part of the study of edge states, the conductive states that appear at the boundary between two topological insulators. We will study a Dirac-type model where the mass term vanishes on a curve. Recent work has constructed edge modes for these models, i.e. solutions that are asymptotically close to a wave packet localized on the interface and moving along it. The aim of this thesis will be to quantitatively characterize a possible edge state generated by any data.