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We investigate the Fano-type spectroscopic lineshapes of the T-shape doublequantum dot coupled between the conducting and superconducting electrodes andanalyze their stability on a decoherence. Because of the proximity effect thequantum interference patterns appear simultaneously at +/- epsilon_2, whereepsilon_2 is an energy of the side-attached quantum dot. We find thatdecoherence gradually suppresses both such interferometric structures. We alsoshow that at low temperatures another tiny Fano-type structure can be inducedupon forming the Kondo state on the side-coupled quantum dot due to itscoupling to the floating lead.

Decoherence effect on the Fano lineshapes in double quantum dots coupled between normal and superconducting leads