Absolutely Continuous Spectrum For Schrödinger Operators With Random Decaying Matrix Potentials on The Strip

Abstract

We consider a family of random Schrödinger operators on the discrete strip with decaying random ${\ell }^2$ matrix potential. We prove that the spectrum is almost surely pure absolutely continuous, apart from random, possibly embedded eigenvalues, which may accumulate at band edges.

25 pages, 1 figure