Absolutely continuous spectrum for Schrodinger operators with random decaying matrix potentials on the strip
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Date
2023
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Abstract
We consider a family of random Schrödinger operators on the discrete strip with decaying random 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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Keywords
Random decaying potential, Absolutely continuous spectrum, Extended states