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

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

2000-08-14

arxiv.org/abs/cond-mat/0008195v1

Phys. Rev. E, 63 (2001) 041102(R)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

RevTex, 4 pages including 2 Postscript figures

Scientific paper

10.1103/PhysRevB.63.041102

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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