Fano interference in a parallel double quantum dot interferometer modified by the decoherence effect

By introducing floating leads to mimic the decoherence mechanism, we study the influence of the decoherence effect on the Fano interference in electron transport through a parallel double quantum dot (QD) structure. We find that when the decoherence effect is incorporated in the resonant channel, the Fano interference can apparently be suppressed, especially in the case of I center dot = pi (I center dot is the phase due to the presence of a local magnetic flux). On the other hand, if the decoherence effect is introduced into the nonresonant channel, the Fano antiresonance is independent of the strengthening of the decoherence effect. If the magnetic flux is absent, the Fano antiresonance valley will be widened by the decoherence. When I center dot = pi, the Fano lineshape in the conductance spectrum is robust. By analyzing the electron motion is this system, we clarified all the results. We hope that these results will be helpful for relevant experiments.