Long range of indirect exchange interaction on the edges of MoS${}_2$ flakes

Abstract

We study the Ruderman-Kittel-Kasuya-Yosida interaction between two magnetic impurities connected to the edges of zigzag-terminated MoS${}_2$ flakes. When the impurities lie on the edges of the flake, the effective exchange interaction exhibits sizable noncollinear Dzyaloshinskii-Moriya character that competes with a strong Ising coupling. We analyze the characteristic decay exponent for doping levels inside the band gap of the infinite layer, corresponding to edge states of the flake at the Fermi level. The characteristic exponents show sub-two-dimensional (sub-2D) behavior for these band fillings, with decays much slower than quadratic. The Ising interaction has effectively one-dimensional (1D) long range, while the noncollinear component that grows for short impurity separation becomes comparable in magnitude. The resulting tunable exchange interaction on these systems opens the way for the study of interesting phases of impurity arrays with long-range stable helical order.

9 pages, 5 figures

References in corpus (14)

• Two Dimensional Atomic Crystals
• Giant and tunable valley degeneracy splitting in MoTe2
• Bandgap and doping effects in MoS2 measured by Scanning Tunneling Microscopy and Spectroscopy
• Perspectives for Spintronics in 2D Materials
• Electronic Structure of Epitaxial Single-Layer MoS${}_2$
• Observation of monolayer valence band spin-orbit effect and induced quantum well states (QWS) in MoX2
• Emergence of one-dimensional wires of free carriers in transition-metal-dichalcogenide nanostructures
• Topological phase and edge states dependence of the RKKY interaction in zigzag silicene nanoribbon
• Topological superconductivity at the edge of transition metal dichalcogenides
• Edge states in dichalcogenide nanoribbons and triangular quantum dots
• Spin susceptibility of two-dimensional transition metal dichalcogenides
• RKKY interaction and intervalley processes in p-doped transition metal dichalcogenides
• Symmetries and hybridization in the indirect interaction between magnetic moments in MoS${}_2$ nanoflakes
• Noncollinear exchange interaction in transition metal dichalcogenide edges

Cited by in corpus (5)

• Lateral Interfaces of Transition Metal Dichalcogenides: A Stable Tunable One-Dimensional Physics Platform
• Competing long-range interactions and spin vector chirality in spin-chains
• RKKY interactions mediated by topological states in transition metal doped bismuthene
• Selective generation and amplification of RKKY interactions by P-N interface
• Wannier Excitons Confined in Hexagonal Boron Nitride Triangular Quantum Dots