Effect of electron-phonon interaction on electron conductance in one-dimensional systems

We have studied the effect of electron-phonon interaction on the electronic transport in a one-dimensional wire where both electrons and phonons are quantum confined. We found substeps appeared in the quantized electron conductance, and the step height depends on the electron-phonon coupling strength. With increasing temperature, the substep structure smooths out. Dependent on the transmission probability through the wire, this substep correction can be either positive or negative. In the limiting cases we reproduce the existing results.