Conductance fluctuations in the localized regime

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dc.creatorSomoza, A. M.
dc.creatorPrior, J.
dc.creatorOrtuno, M.
dc.date2006-03-29
dc.date.accessioned2026-07-07T07:05:05Z
dc.date.available2026-07-07T07:05:05Z
dc.descriptionWe have studied numerically the fluctuations of the conductance, $g$, in two-dimensional, three-dimensional and four-dimensional disordered non-interacting systems. We have checked that the variance of $\ln g$ varies with the lateral sample size as $L^{2/5}$ in three-dimensional systems, and as a logarithm in four-dimensional systems. The precise knowledge of the dependence of this variance with system size allows us to test the single-parameter scaling hypothesis in three-dimensional systems. We have also calculated the third cumulant of the distribution of $\ln g$ in two- and three-dimensional systems, and have found that in both cases it diverges with the exponent of the variance times 3/2, remaining relevant in the large size limit.
dc.description5 figures. accepted in PRB
dc.identifierhttps://arxiv.org/abs/cond-mat/0603796
dc.identifierhttp://arxiv.org/abs/cond-mat/0603796
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/109554
dc.subjectDisordered Systems and Neural Networks
dc.titleConductance fluctuations in the localized regime
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