Lifshitz tails for the fractional Anderson model

Martin Gebert, Constanza Rojas-Molina

We consider the $d$-dimensional fractional Anderson model $(-\Delta {)}^{\alpha }+V_{\omega }$ on ${\ell }^2({\mathbb{Z}}^d)$ where $0<\alpha \le 1$. Here $-\Delta$ is the negative discrete Laplacian and $V_{\omega }$ is the ra…