Kondo effect in non-centrosymmetric superconductors

We investigate Kondo effect in non-centrosymmetric superconductors (SC). We apply a periodic Anderson model (PAM) with antisymmetric spin-orbital coupling (ASOC) for both singlet and triplet pairing. A Kondo region with finite resistance below superconducting transition temperature Tc is predicted. Kondo hybridization enhances Kondo transition temperature T_K but reduces superconducting critical temperature T_c. While magnetic field suppresses singlet superconductivity, it stabilizes triplet pairing by screening out magnetic impurities, causing reentrant superconductivity at high field. However, the presence of antisymmetric spin-orbital coupling will suppress triplet superconductivity and lead to an upper critical field. Our findings provide a comprehensive understanding of superconducting phase diagrams of heavy fermion superconductor UTe2 and Co-doped NbSe2.