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Transport properties of one-dimensional Kronig-Penney models with correlated disorder

T. Kottos·G. P. Tsironis·F. M. Izrailev
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Abstract

Transport properties of one-dimensional Kronig-Penney models with binary correlated disorder are analyzed using an approach based on classical Hamiltonian maps. In this method, extended states correspond to bound trajectories in the phase space of a parametrically excited linear oscillator, while the on site-potential of the original model is transformed to an external force. We show that in this representation the two probe conductance takes a simple geometrical form in terms of evolution areas in phase-space. We also analyze the case of a general N-mer model.

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T. Kottos, G. P. Tsironis, F. M. Izrailev. 1996-11-01. Transport properties of one-dimensional Kronig-Penney models with correlated disorder. https://doi.org/10.1088/0953-8984%2F9%2F8%2F009

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