Magnetic Dirac systems: Violation of bulk-edge correspondence in the zigzag limit

J. M. Barbaroux*, H. D. Cornean, L. Le Treust, N. Raymond, E. Stockmeyer

*Kontaktforfatter

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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.

OriginalsprogEngelsk
Artikelnummer93
TidsskriftLetters in Mathematical Physics
Vol/bind114
Udgave nummer4
ISSN0377-9017
DOI
StatusUdgivet - aug. 2024

Bibliografisk note

Publisher Copyright:
© The Author(s), under exclusive licence to Springer Nature B.V. 2024.

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