Nonlinearity effects on conductance statistics in one dimensional disordered systems

Khaled Senouci

Physica A: Statistical Mechanics and its Applications, 2014, vol. 413, issue C, 592-598

Abstract: We investigate numerically the effect of non-linear interaction on conductance statistics in one dimensional disordered systems with δ peak potentials. It is shown that the non-linearity can either localize or delocalize the electronic states depending on its sign. For an attractive nonlinear interaction, we found that the mean conductance decays as g≈L−γ. The exponent γ is found to be sensitive to the kind of the potential. It seems to be independent of the strength of the non-linearity in the case of disordered barrier potentials, while it varies with this strength for well and mixed potentials. The conductance probability distribution shows a deviation from its log-normal form (linear case) when the nonlinearity is increased and the fluctuations of conductance decrease indicating the delocalization of the eigenstates.

Keywords: Disordered systems; Localization–delocalization transition; Nonlinear interaction; Conductance fluctuations; Conductance distribution (search for similar items in EconPapers)
Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:413:y:2014:i:c:p:592-598

DOI: 10.1016/j.physa.2014.06.025

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