Eigenvalue asymptotics for two dimensional magnetic Dirac operators

In this talk, we present results on the eigenvalue distribution for perturbed magnetic Dirac operators in two dimensions. We derive third-order asymptotic formulas that incorporate a geometric property of the perturbation's support. Notably, our approach allows us to consider some perturbations that do not necessarily have fixed sign, which is one the main novelties of our work.

This is part of a joint work together with Vincent Bruneau.