2024/01/23 by Loïc Le Treust, Treust, Loïc Le, Jean-Marie Barbaroux +7 · 1 citation
Mathematics · #Advanced Operator Algebra Research #Algebraic and Geometric Analysis #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Spectral Theory (math.SP) #Spectral Theory in Mathematical Physics
paper · pdf · doi:10.48550/arxiv.2401.12569
openalex created_date 2024/01/23 · openalex publication_date 2024/01/23 · openalex updated_date 2026/07/30
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.