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Superconductivity and magnetism are usually the conflicting (competing)phenomena. We show, however, that in nanoscopic objects the electron pairingmay promote the magnetic ordering. Such situation is possible at lowtemperatures in the quantum dots placed between the conducting andsuperconducting reservoirs, where the proximity induced electron pairingcooperates with the correlations enhancing the spin-exchange interactions. Theemerging Kondo resonance, which is observable in the Andreev conductance, canbe significantly enhanced by the coupling to superconducting lead. We explainthis intriguing tendency within the Anderson impurity model using: thegeneralized Schrieffer-Wolff canonical transformation, the second orderperturbative treatment of the Coulomb repulsion, and the nonperturbativenumerical renormalization group calculations. We also provide hints forexperimental observability of this phenomenon.

Constructive influence of the induced electron pairing on the Kondo state