Abstract
By introducing a floating lead to mimic the decoherence mechanism, the Fano effect in the linear conductance spectrum of a T-shaped double quantum dot structure is studied. We find that even in the case that the self-energy arising from the decoherence mechanism is much smaller than the coupling strength between the connected quantum dot and the conducting lead, the Fano lineshape can be largely destroyed. In addition, the decoherence renders the high-order electron transmission paths unimportant to contributing to the Fano lineshape.
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