Symmetries and hybridization in the indirect interaction between magnetic moments in MoS${}_2$ nanoflakes

Abstract

We study the Ruderman-Kittel-Kasuya-Yosida interaction between magnetic impurities embedded in $p$-doped transition metal dichalcogenide triangular flakes. The role of underlying symmetries is exposed by analyzing the interaction as a function of impurity separation along zigzag and armchair trajectories, in specific parts of the sample. The large spin-orbit coupling in these materials produces strongly anisotropic interactions, including a Dzyaloshinskii-Moriya component that can be sizable and tunable. We consider impurities hybridized to different orbitals of the host transition-metal and identify specific characteristics for onsite and hollow site adsorption. In the onsite case, the different components of the interaction have similar magnitude, while for the hollow site, the Ising component dominates. We also study the dependence of the interaction with the level of hole doping, which supplies a further degree of tunability. Our results could provide ways of controlling helical long range spin order in magnetic impurity arrays embedded in these materials.

arXiv comment12 pages, 10 figures

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Cited by in corpus (9)

• Valley qubit in gated MoS${}_2$ monolayer quantum dot
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• Lateral Interfaces of Transition Metal Dichalcogenides: A Stable Tunable One-Dimensional Physics Platform
• Velocity-determined anisotropic behaviors of RKKY interaction in 8-\textit{Pmmn} borophene
• Long range of indirect exchange interaction on the edges of MoS${}_2$ flakes
• Scanning gate microscopy mapping of edge current and branched electron flow in a transition metal dichalcogenide nanoribbon and quantum point contact
• Proximity-induced spin-polarized magnetocaloric effect in transition metal dichalcogenides
• RKKY interactions mediated by topological states in transition metal doped bismuthene
• Wannier Excitons Confined in Hexagonal Boron Nitride Triangular Quantum Dots