Triplet superconducting p+ip pairs existing in a graphene sandwiched by superconductor and ferromagnet

Since the even-parity (s- or d-wave) superconducting pairs are incompatible with the ferromagnetism, a proper parity for these superconducting pairs existing in the interfaces of superconductors (SCs) and ferromagnets (FMs) should be odd-parity (p-wave). In this study a sandwiched structure constructed by even-parity superconductor/graphene/ferromagnet (ESC/GH/FM) is theoretically proposed to play a role to accommodate stable triplet superconducting pairs in the graphene (GH). The interactions in the graphene induced from the heavy magnetic atoms in FM including Kondo interaction, Kane–Mele and Rashba spin–orbit interactions (SOI) are considered. The calculations reveal a fact that p+ip state in the graphene is stable than pure p state and the former interaction suppress the triplet superconductivity but enhance it by later two SOIs.