We study the Kondo screening of a spin-1/2 magnetic impurity coupled to a superconductor, which is fabricated by the combination of an s-wave superconductor, a ferromagnet and a semiconductor with Rashba spin-orbit coupling (RSOC). The proximity induced superconducting states include the s-wave and p-wave pairing components with the aids of RSOC, and the ferromagnet induces a Zeeman field which removes the spin degeneracy of the quasiparticles in the triplet states. Thus, the Kondo screening of magnetic impurity involves the orbital degrees of freedom, and is also affected by the Zeeman field. By using the variational method, we calculate the binding energy and the spin-spin correlation between the magnetic impurity and the electrons in the co-existing s-wave and p-wave pairing states. We find that Kondo singlet forms more easily with stronger RSOC, but Zeeman field in general decreases the binding energy. The spin-spin correlation decays fast in the vicinity of the magnetic impurity. Due to the RSOC, the spatial spin-spin correlation becomes highly anisotropic, and the Zeeman field can induce extra asymmetry to the off-diagonal components of the spin-spin correlation. Our study can offer some insights into the studies of extrinsic topological superconductors fabricated from the hybrid structures containing chains of magnetic impurities.

We study the Kondo screening of a spin-1/2 magnetic impurity in the hybrid nodal line semimetals (NLSMs) and the type-II NLSMs by using the variational method. We mainly study the binding energy and the spin–spin correlation between magnetic impurity and conduction electrons. We find that in both the hybrid and type-II cases, the density of states (DOS) is always finite, so the impurity and the conduction electrons always form bound states, and the bound state is more easily formed when the DOS is large. Meanwhile, due to the unique dispersion relation and the spin–orbit couplings in the NLSMs, the spatial spin–spin correlation components show very interesting features. Most saliently, various components of the spatial spin–spin correlation function decay with 1/r 2 in the hybrid NLSMs, while they follow 1/r 3 decay in the type-II NLSMs. This property is mainly caused by the special band structures in the NLSMs, and it can work as a fingerprint to distinguish the two types of NLSMs.