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We investigate the Andreev reflection in the parallel double-quantum-dotstructure, by considering one metallic lead and one $s$-wave superconductor tocouple to the quantum dots simultaneously. It is found that the Fano lineshhapehas opportunities to appear in the linear conductance spectrum of the Andreevreflection, which can be reversed by tuning the dot level or local magneticflux. However, the property of the Fano effect is very complicated, incomparison with the normal electron tunnelling case. This is manifested as thespecial Fano form of the linear-conductance expression and the interferencemanner among the Feynman paths. We believe that this work can be helpful forunderstanding the Fano interference in the Andreev reflection process.

Well-defined Fano effect in the Andreev reflection process of a parallel double-quantum-dot structure