Indirect exchange interaction between magnetic adatoms in monolayer MoS2

We study the Ruderman-Kittle-Kasuya-Yosida (RKKY) interaction in a monolayer MoS2. We show that the rotation of the itinerant electron spin due to the spin-orbit coupling causes a twisted interaction between two magnetic adatoms, which consists of different RKKY coupling terms: the Heisenberg, Dzyaloshinsky-Moriya, and Ising interactions. We find that the interaction terms are very sensitive to the Fermi energy values and change dramatically from doped to undoped systems. A finite doping causes all parts of the interaction to oscillate with the distance of two magnetic impurities R, and the interaction behaves like R-2 for a long distance between two localized spins. We explore a beating pattern of oscillations of the RKKY interaction that occurs for the doped system. DOI: 10.1103/PhysRevB.87125401