Green's functions for magnetic Dirac operators and bulk-edge correspondence
Mathematical Physics
2025-09-23 v1 math.MP
Quantum Physics
Abstract
We study the resolvent kernel (Green's function) of magnetic Dirac operators on a half-plane with boundary conditions interpolating between infinite mass and zigzag cases, excluding the latter. We show that these kernels have all the required properties so that the proof of bulk-edge correspondence from the infinite mass case shown recently can be repeated ad litteram. The zigzag case exhibits qualitatively different behavior and will be addressed in future work.
Cite
@article{arxiv.2509.17151,
title = {Green's functions for magnetic Dirac operators and bulk-edge correspondence},
author = {Jean-Marie Barbaroux and Horia D. Cornean and Loïc Le Treust and Nicolas Raymond and Edgardo Stockmeyer},
journal= {arXiv preprint arXiv:2509.17151},
year = {2025}
}
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