Abstract
We study the Ruderman-Kittel-Kasuya-Yosida (RKKY) coupling between localized magnetic impurities in the ${\text{MoS}}_{2}$ nanoribbons. Our calculations are based on a three-orbital tight-binding model for a ${\text{MoS}}_{2}$ 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.
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