Anderson transition in one-dimensional systems with spatial disorder

Details Anderson transition in one-dimensional systems with spatial disorder Anderson transition in one-dimensional systems with spatial disorder

2009-06-12

arxiv.org/abs/0906.2402v3

Physica A, Volume 389, Pages 1002-1008 (2010)

Physics

Condensed Matter

Disordered Systems and Neural Networks

19 pages, 9 Figures

Scientific paper

A simple Kronig-Penney model for one-dimensional (1D) mesoscopic systems with $\delta $ peak potentials is used to study numerically the influence of a spatial disorder on the conductance fluctuations and distribution at different regimes. We use the Levy laws to investigate the statistical properties of the eigenstates. We found the possibility of an Anderson transition even in 1D meaning that the disorder can also provide constructive quantum interferences. We found at this transition that the conductance probability distribution has a system-size independent shape with large fluctuations in good agreement with previous works. In these 1D systems, the metallic phase is well characterized by a Gaussian conductance distribution. Indeed, the results for the conductance distribution are in good agreement with the previous works in 2D and 3D systems for other models.

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