Wave‐Packet Dynamics in Nonlinear Disordered Chains under the Effect of Acoustic Waves

Abstract

In this work, the wave‐packet dynamics is considered under the effect of diagonal disorder distribution, electron–lattice interaction, and acoustic‐wave pumping. Electronic transport is taken into account quantum mechanically, whereas lattice vibrations are described through a classical nonlinear Morse Hamiltonian. The electronic hopping term takes the form of an exponential function of the effective distance between nearest‐neighbor lattice elements. The electron wave‐packet is initially localized at the first site of the chain alongside a Gaussian pulse generator. The results suggest that the disorder distribution breaks down the solitonic energy profile that exists within this kind of nonlinear Morse lattice. On the other hand, it is shown that the acoustic pumping sustains the wave packet dynamics within this disordered nonlinear model.