Evading Anderson Localization in a one-dimensional conductor with correlated disorder
ORAL
Abstract
We show that a one-dimensional disordered conductor with correlated disorder has an extended state and a Landauer resistance that is non-zero in the limit of infinite size in contrast to the predictions of the scaling theory of localization. The delocalization transition is not related to any underlying symmetry of the problem such as particle-hole symmetry in contrast to the handful of known examples of delocalization in one dimension. For a wire of finite length the effect manifests as a sharp transmission resonance that narrows as the length of the wire is increased. Experimental realizations in metamaterials and applications will be discussed, including the possibility of constructing a fault-tolerant narrow-band light filter.
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Presenters
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Harsh Mathur
Case Western Reserve University
Authors
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Onuttom Narayan
Physics, University of California at Santa Cruz, University of California at Santa Cruz, Department of Physics, University of California Santa Cruz
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Harsh Mathur
Case Western Reserve University
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Richard Montgomery
University of California at Santa Cruz