Opérateurs de Dirac avec champ magnétique sur des domaines — Dirac operators on domains with magnetic fields

The mathematical problem we plan to tackle takes its source in questions concerning graphene and the estimate of energy gaps. The model we study is a two dimensional massless Dirac operator on a regular bounded domain. We are interested in estimating the asymptotic of the gap at zero. More precisely, we want to derive the asymptotics for large magnetic field of the first negative eigenvalue and the first positive eigenvalue.

Topics: RESEARCH IN PAIRS