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Nonlinearity effects on conductance statistics in one dimensional disordered systems.

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Bilan de l’équipe de recherche : PMI (Chef d’équipe : Professeur Senouci Khaled) Auteurs:

Khaled Senouci

Titre du l’article / ou bien communication:

Nonlinearity effects on conductance statistics in one dimensional disordered systems. Date de publication :

1 Novembre 2014 Nom de journal :

Physica A: Statistical Mechanics and its Applications Numéro de série / ou bien collection :

Numéro de volume : 413 Identification : ISSN 0378-4371 Type : Article Langue de l’article : Anglais Motsclés :

Disordered systems, Localization–delocalization transition, Nonlinear interaction, Conductance fluctuations, Conductance distribution

Résumé :

We investigate numerically the effect of non-linear interaction on conductance statistics in one dimensional disordered systems with 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 . The exponent 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.

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