Effective indirect exchange interaction in p-doped MoS2 nanoribbons in the presence of intrinsic spin-orbit interaction

We study the Ruderman-Kittel-Kasuya-Yosida (RKKY) coupling between localized magnetic impurities in the MoS2 nanoribbons. Our calculations are based on a three-orbital tight-binding model for a MoS2 finite nanoribbon system with periodic boundary conditions. We consider impurities hybridized to different d orbitals of the host transition metal. The large intrinsic spin-orbit coupling leads to the spatial anisotropy in the RKKY interaction amplitude and appearance of collinear and noncollinear terms. We find that the RKKY interaction is sensitive to the Fermi energy values and changes dramatically in doped systems. We analyze the exponent decay behavior of the RKKY interaction envelope for doping levels inside the band gap of the infinite layer.