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math.SP2024
Eigenvalue Asymptotics near a flat band in presence of a slowly decaying potential
Pablo Miranda, Daniel Parra
We provide eigenvalue asymptotics for a Dirac-type operator on , , perturbed by multiplication operators that decay as with . We show that the…
math.SP2024
Spectrum of the perturbed Landau-Dirac operator
Vincent Bruneau, Pablo Miranda
In this article, we consider the Dirac operator with constant magnetic field in . Its spectrum consists of eigenvalues of infinite multiplicities, known as the Landau-…