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Mobility Edge in Aperiodic Kronig-Penney Potentials with Correlated Disorder: Perturbative Approach

F. M. Izrailev·A. A. Krokhin·S. E. Ulloa
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Abstract

It is shown that a non-periodic Kronig-Penney model exhibits mobility edges if the positions of the scatterers are correlated at long distances. An analytical expression for the energy-dependent localization length is derived for weak disorder in terms of the real-space correlators defining the structural disorder in these systems. We also present an algorithm to construct a non-periodic but correlated sequence exhibiting desired mobility edges. This result could be used to construct window filters in electronic, acoustic, or photonic non-periodic structures.

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F. M. Izrailev, A. A. Krokhin, S. E. Ulloa. 2000-08-14. Mobility Edge in Aperiodic Kronig-Penney Potentials with Correlated Disorder: Perturbative Approach. https://doi.org/10.1103/physrevb.63.041102

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