Noncollinear exchange interaction in transition metal dichalcogenide edges

Abstract

We study the Ruderman-Kittel-Kasuya-Yosida effective exchange interaction between magnetic impurities embedded on the edges of transition-metal dichalcogenide flakes, using a three-orbital tight-binding model. Electronic states lying midgap of the bulk structure have strong one-dimensional (1D) character, localized on the edges of the crystallite. This results in exchange interactions with $1/r$ (or slower) decay with distance $r$, similar to other 1D systems. Most interestingly, however, the strong spin-orbit interaction in these materials results in sizable non-collinear Dzyaloshinskii-Moriya interactions between impurities, comparable in size to the usual Ising and in-plane components. Varying the relevant Fermi energy by doping or gating may allow one to modulate the effective interactions, controlling the possible helical ground state configurations of multiple impurities.

5 pages and 4 figures

References in corpus (9)

• Two Dimensional Atomic Crystals
• Quantum Spin Hall Effect and Topological Field Effect Transistor in Two-Dimensional Transition Metal Dichalcogenides
• Emergence of one-dimensional wires of free carriers in transition-metal-dichalcogenide nanostructures
• RKKY interaction in carbon nanotubes and graphene nanoribbons
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• RKKY interaction and intervalley processes in p-doped transition metal dichalcogenides
• Indirect RKKY interaction in armchair graphene nanoribbons
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• Indirect coupling between localized magnetic moments in triangular graphene nanoflakes

Cited by in corpus (9)

• Valley qubit in gated MoS${}_2$ monolayer quantum dot
• Velocity-determined anisotropic behaviors of RKKY interaction in 8-\textit{Pmmn} borophene
• Symmetries and hybridization in the indirect interaction between magnetic moments in MoS${}_2$ nanoflakes
• Long range of indirect exchange interaction on the edges of MoS${}_2$ flakes
• Reversible edge spin currents in antiferromagnetically proximitized dichalcogenides
• Universal Barenco quantum gates via a tunable non-collinear interaction
• Proximity-induced spin-polarized magnetocaloric effect in transition metal dichalcogenides
• Competing long-range interactions and spin vector chirality in spin-chains
• Wannier Excitons Confined in Hexagonal Boron Nitride Triangular Quantum Dots