Phonon induced coherence in multi-level quantum dot system

The effect of electron–phonon scattering is studied for the resonant tunneling processes through series double quantum dots. When one of the dots facilitates multiple quantum levels within the transport window, the electron–phonon scattering process in this dot affects the resonant current. In most cases, inelastic processes predominates but phonon induced coherent process is shown to be possible under certain conditions. We find that inter-dot resonance can be strongly modified by this phonon-induced coherent process, and propose it as one of the origins for the peculiar magnetic field dependence of the resonant current peaks, observed in the experiments of the vertical quantum dots.