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

preprint2022arXivOpen access

Abstract

We consider a family of random Schrödinger operators on the discrete strip with decaying random ℓ2\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.

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