Electronic dynamics under effect of a nonlinear Morse interaction and a static electric field

• Electron–phonon coupling promoting the electronic transport
• The competition between electric field and the electron–soliton interaction
• Bloch oscillations under effect of electron–lattice coupling.

Considering non-interacting electrons in a one-dimension alloy in which atoms are coupled by a Morse potential, we study the system dynamics in the presence of a static electric field. Calculations are performed assuming a quantum mechanical treatment for the electronic transport and a classical Hamiltonian model for the lattice vibrations. We report numerical evidence of the existence of a soliton–electron pair, even when the electric field is turned on, and we offer a description of how the existence of such a phase depends on the magnitude of the electric field and the electron–phonon interaction.