Fano effect and Andreev bound states in T-shape double quantum dots

• Transport properties of a double quantum dot coupled in T-shape configuration to conducting and superconducting leads are studied.
• We report Fano antiresonances in the normal transmission due to the Andreev reflections in the superconducting lead.
• We report for first time the Fano effect produced by Andreev bound states in a side quantum dot.
• Fano effect allows us to study the Andreev bound states in the changes in the conductance between two normal leads.
• Andreev bound states survives even for strong dot-superconductor coupling.

In this Letter, we investigate the transport through a T-shaped double quantum dot coupled to two normal metal leads left and right and a superconducting lead. Analytical expressions of Andreev transmission and local density of states of the system at zero temperature have been obtained. We study the role of the superconducting lead in the quantum interferometric features of the double quantum dot. We report for first time the Fano effect produced by Andreev bound states in a side quantum dot. Our results show that as a consequence of quantum interference and proximity effect, the transmission from normal to normal lead exhibits Fano resonances due to Andreev bound states. We find that this interference effect allows us to study the Andreev bound states in the changes in the conductance between two normal leads.