Electronic transport in nonlinear random n-mer system

In this work, we have investigated numerically the nonlinear interaction effect on electronic transmission in a one-dimensional random n  -mer system. Due to correlated disorder, n-1n-1 resonant transmissions are found in the first allowed band. We show that for any amount of nonlinear interaction, the bandwidth of the transmission peaks has a power-law behaviour with the system size as ΔE≈L-γΔE≈L-γ. The exponent γγ depends on the nonlinear interaction strength and is sensitive to resonance energy and the concentration of the impurities. It is also shown that there exists a critical nonlinear parameter for which the system becomes transparent at any energy. Further investigations are provided on the effect of nonlinearity on conductance fluctuations near the resonances.