Abstract
Recently, Aizenman and Warzel discovered a mechanism for the appearance of absolutely continuous spectrum for random Schrödinger operators on the Bethe lattice through rare resonances (resonant delocalization). We extend their analysis to operators with matrix-valued random potentials drawn from ensembles such as the Gaussian Orthogonal Ensemble. These operators can be viewed as random operators on the Bethe strip, a graph (lattice) with loops.
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Communicated by Anton Bovier.
This research was supported by NSF grant PHY-1104596.
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Shamis, M. Resonant Delocalization on the Bethe Strip. Ann. Henri Poincaré 15, 1549–1567 (2014). https://doi.org/10.1007/s00023-013-0280-6
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DOI: https://doi.org/10.1007/s00023-013-0280-6