Localization for the Anderson model on a strip with singular potentials (Q1173578)

The Anderson model on a strip is given by the random Hamiltonian \(H=- \Delta+V\) on \(l^ 2(\mathbb{Z}^ d)\), where \(\Delta\) is the discrete Laplacian and where the \(V(x)\), \(x\in\mathbb{Z}^ d\), are independent random variables all with the same distribution. It is assumed that this distribution is not concentrated at a single point and has some finite moment. It is shown that exponential localization holds almost surely (i.e., \(H\) has pure point spectrum with exponentially decaying eigenfunctions).