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 ${\mathbb{Z}}^n$, $n\ge 2$, perturbed by multiplication operators that decay as $|\mu {|}^{-\gamma }$ with $\gamma <n$. We show that the…