Jean Marie Barbaroux: Magnetic Dirac Systems: Violation of bulk-edge correspondence in the zigzag limit

Speaker
Jean Marie Barbaroux, Université de Toulon

Abstract
We consider a Dirac operator with constant magnetic field defined on a half-plane with boundary conditions that interpolate between infinite mass and zigzag. By a detailed study of the energy dispersion curves we show that the infinite mass case generically captures the profile of these curves, which undergoes a continuous pointwise deformation into the topologically different zigzag profile. These results are applied to the bulk-edge correspondence. In particular, by means of a counterexample, we show that this correspondence does not always hold true in the zigzag case.