title: Effect of nonlinear interactions on resonant states of the random dimer model.
abstract: A simple Kronig-Penney model for 1D mesoscopic systems with δ  peak potentials is used to study numerically the effect of non-linear interaction on the resonant states of the random dimer model. 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 ΔE  is a power law decaying with the system size as L(-γ). The exponent γ  decreases linearly with the nonlinear interaction strength when the dimer impurity concentration increases. The resonance energy states, in these systems, are shifted depending on the kind of interaction. Further investigations are provided on the effect of nonlinearity on conductance fluctuations near the resonances.
authors.affiliation: Université de Mostaganem, Département de Physique, BP 227, Route Belhacel, 27000, Mostaganem, Algeria. USTO, Département de Physique, LEPM, B.P.1505 El M'Naouar, Oran, Algeria. senouci_k@yahoo.com
authors.forename: Khaled
authors.initials: K
authors.lastname: Senouci