This talk is devoted to two-dimensional Dirac operators on bounded domains coupled to a magnetic field perpendicular to the plane. It will be focused on the MIT bag boundary condition. I will describe recent results about accurate asymptotic estimates for the low-lying (positive and négative) eigenvalues in the limit of a strong magnetic field.
This is a joint work with J.-M. Barbaroux, L. Le Treust and E. Stockmeyer.