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Nonlinearity effects on conductance statistics in one dimensional disordered systems

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  • Senouci, Khaled

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.

Suggested Citation

  • Senouci, Khaled, 2014. "Nonlinearity effects on conductance statistics in one dimensional disordered systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 413(C), pages 592-598.
    • Handle: RePEc:eee:phsmap:v:413:y:2014:i:c:p:592-598
    DOI: 10.1016/j.physa.2014.06.025
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