Random dimer model in pseudo two-dimensional lattices
arXiv:1409.7592 · doi:10.1016/j.physleta.2015.01.032
Abstract
In this work, we study long-time wave transport in correlated and uncorrelated disordered 2D arrays. When a separation of dimensions is applied to the model, we find that the predicted 1D random dimer phenomenology also appears in so-called pseudo-2D arrays. Therefore, a threshold behavior is observed in terms of the effective size for eigenmodes, as well as in long-time dynam- ics. For this threshold behavior to be observed a minimum system size is required, what is very important when considering a possible experimental realization. For the long-time evolution, we find that for short-range correlated lattices a super-diffusive long-range transport is observed, while for completely uncorrelated disorder in 2D transport becomes sub-diffusive within the localization length and random binary pseudo-2D arrays show localization.
arXiv comment5 pages, 3 figures, submitted for publication
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