Electronic transport in disordered chains mediated by interactions with acoustic waves

• Electron transport under the effect of electron–phonon interaction and an acoustic wave׳s pumping.
• Numerical evidences with regard to the sub-diffusive transport.
• Breakdown of the Anderson localization in low-dimensional systems.

We considered the dynamics of an initially localized wave packet in one-dimensional disordered chains under the effect of electron–phonon interaction and an acoustic wave׳s pumping. Our procedure consists of a quantum mechanics formalism for the electron transport and a classical Harmonic Hamiltonian model for lattice vibrations. We also introduce an electron–lattice interaction by assuming electron energy transfer between neighboring atoms as an exponential function of its effective distance. In our model, the electron was initially localized at the first site of the chain and we also added pumping of an acoustic wave at the zeroth site. We solved numerically the dynamic equations for the electron and lattice performing calculations for the spreading of an electronic wave-packet. We report numerical evidences with regard to the sub-diffusive transport.