Green's functions for magnetic Dirac operators and bulk-edge correspondence
The study investigates magnetic Dirac operators on a half-plane with boundary conditions that smoothly transition between infinite mass and zigzag cases. The main finding is that for non-zigzag conditions, the resolvent kernel has properties allowing the bulk-edge correspondence proof from the infinite mass case to be directly applied. This establishes a robust method for relating bulk topological invariants to edge transport in these systems.