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arXiv · 2509.17151

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

Jean-Marie Barbaroux·Horia D. Cornean·Loïc Le Treust·Nicolas Raymond·Edgardo Stockmeyer
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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.

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Jean-Marie Barbaroux, Horia D. Cornean, Loïc Le Treust, Nicolas Raymond, Edgardo Stockmeyer. 2025-09-21. Green's functions for magnetic Dirac operators and bulk-edge correspondence. https://arxiv.org/abs/2509.17151

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