Abstract
Abstract: A simple Kronig–Penney model for 1D mesoscopic systems with delta peak potentials is used to study numerically the effect of non-linear interaction on random n-mer system. It is shown that the nonlinear interaction increases or decreases the width of the resonances depending on both its sign and strength. The resonance width $Delta(E)$ is a power law decaying with the system size as $Delta(E)~L^{-Gamma}$. The exponent $Gamma$ decreases linearly with the nonlinear interaction strength when the n-mer impurity concentration increases. Further investigations are provided on the behaviour of the resonance width in random dimer, random trimer and random tetramer systems.
Keywords: localization, delocalization, nonlinear interaction, correlated disorder, conductance fluctuations.