Abstract
We consider a Dirac operator with constant magnetic field defined on a half-plane with boundary conditions that interpolate between infinite mass and zigzag. By a detailed study of the energy dispersion curves, we show that the infinite mass case generically captures the profile of these curves, which undergoes a continuous pointwise deformation into the topologically different zigzag profile. Moreover, these results are applied to the bulk-edge correspondence. In particular, by means of a counterexample, we show that this correspondence does not always hold true in the zigzag case.
Originalsprog | Engelsk |
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Artikelnummer | 93 |
Tidsskrift | Letters in Mathematical Physics |
Vol/bind | 114 |
Udgave nummer | 4 |
ISSN | 0377-9017 |
DOI | |
Status | Udgivet - aug. 2024 |
Bibliografisk note
Publisher Copyright:© The Author(s), under exclusive licence to Springer Nature B.V. 2024.