The Dirac bag model in strong magnetic fields

In this work we study Dirac operators on two-dimensional domains coupled to a magnetic field perpendicular the plane. We focus infinite-mass boundary condition (also called MIT bag condition). case of bounded domains, establish asymptotic behavior low-lying (positive and negative) energies in limit strong field. Moreover, for constant $B$, problem half-plane find that operator has continuous spectrum except gap size $a_0\sqrt{B}$, where $a_0\in (0,\sqrt{2})$ is universal constant. Remarkably, characterizes certain system domain as well. discuss how these findings, together with our previous work, give fairly complete description eigenvalue asymptotics under general conditions.