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.

12 pages, 10 figures

References in corpus (8)

• Two Dimensional Atomic Crystals
• RKKY in half-filled bipartite lattices: graphene as an example
• RKKY Interaction in Graphene from Lattice Green's Function
• Kondo Quantum Criticality of Magnetic Adatoms in Graphene
• Indirect Exchange and Ruderman-Kittel-Kasuya-Yosida (RKKY) Interactions in Magnetically-Doped Graphene
• RKKY interaction and intervalley processes in p-doped transition metal dichalcogenides
• Indirect RKKY interaction in armchair graphene nanoribbons
• Indirect coupling between localized magnetic moments in triangular graphene nanoflakes

Cited by in corpus (1)

• Wannier Excitons Confined in Hexagonal Boron Nitride Triangular Quantum Dots