Inelastic Fano interference induced by interdot-phonon exchange in a T-shaped double quantum dot

We study the phonon-assisted Fano interference of the linear conductance spectrum by taking into account the interdot-phonon exchange in a T-shaped double quantum dot (QD), where a central QD is coupled to a side QD and two nonmagnetic or ferromagnetic electrodes. Unlike the usual Fano interference between different elastic channels, this new-type Fano interference is shown to arise from electron waves tunneling coherently through phonon-assisted bonding and antibonding states. The inelastic Fano effect, characterized by a significant resonance and a zero-value antiresonance of conductances due to destructive quantum interference, is strongly dependent on the interdot coupling and interdot electron–phonon interactions (EPI) strength. We also examine that the introduction of ferromagnetic leads does not destroy either the elastic Fano interference or the inelastic one but richens their lineshapes.