Green's functions for magnetic Dirac operators and bulk-edge correspondence

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.

arXiv:2509.17151 [math-ph]

(or arXiv:2509.17151v2 [math-ph] for this version)

https://doi.org/10.48550/arXiv.2509.17151 Focus to learn more arXiv-issued DOI via DataCite

https://doi.org/10.1007/s00023-026-01759-z Focus to learn more DOI(s) linking to related resources

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