RKKY interaction in carbon nanotubes and graphene nanoribbons

Abstract

We study Rudermann-Kittel-Kasuya-Yosida (RKKY) interaction in carbon nanotubes (CNTs) and graphene nanoribbons in the presence of spin orbit interactions and magnetic fields. For this we evaluate the static spin susceptibility tensor in real space in various regimes at zero temperature. In metallic CNTs the RKKY interaction depends strongly on the sublattice and, at the Dirac point, is purely ferromagnetic (antiferromagnetic) for the localized spins on the same (different) sublattice, whereas in semiconducting CNTs the spin susceptibility depends only weakly on the sublattice and is dominantly ferromagnetic. The spin orbit interactions break the SU(2) spin symmetry of the system, leading to an anisotropic RKKY interaction of Ising and Moryia-Dzyaloshinsky form, besides the usual isotropic Heisenberg interaction. All these RKKY terms can be made of comparable magnitude by tuning the Fermi level close to the gap induced by the spin orbit interaction. We further calculate the spin susceptibility also at finite frequencies and thereby obtain the spin noise in real space via the fluctuation-dissipation theorem.

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Cited by in corpus (49)

• RKKY interaction on the surface of three-dimensional Dirac semimetals
• Ruderman-Kittel-Kasuya-Yosida interaction in Weyl semimetals
• Effects of nuclear spins on the transport properties of the edge of two-dimensional topological insulators
• RKKY interaction in three-dimensional electron gases with linear spin-orbit coupling
• RKKY Interaction On Surfaces of Topological Insulators With Superconducting Proximity Effect
• Topological phase and edge states dependence of the RKKY interaction in zigzag silicene nanoribbon
• Helical nuclear spin order in a strip of stripes in the Quantum Hall regime
• Effect of Rashba splitting on RKKY interaction in topological insulator thin films
• Antiferromagnetic nuclear spin helix and topological superconductivity in ${}^{13}$C nanotubes
• Local Spin Susceptibilities of Low-Dimensional Electron Systems
• RKKY interaction between adsorbed magnetic impurities in graphene: symmetry and strain effects
• RKKY interaction in gapped or doped graphene
• Probing the edge states in a zigzag phosphorene nanoribbon via RKKY exchange interaction
• Noncollinear twisted RKKY interaction on the optically driven SnTe(001) surface
• Strongly anisotropic spin response as a signature of the helical regime in Rashba nanowires
• Indirect RKKY interaction in armchair graphene nanoribbons
• Effect of magnetic field and chemical potential on the RKKY interaction in the $\alpha$-${\mathcal{T}}_3$ lattice
• Coupled superconducting spin qubits with spin-orbit interaction
• Magnetoplasmons for the $\alpha$-T${}_3$ model with filled Landau levels
• Hybridization and anisotropy in the exchange interaction in 3D Dirac semimetals
• Indirect coupling between localized magnetic moments in triangular graphene nanoflakes
• Exchange interaction of magnetic impurities in biased bilayer phosphorene nanoribbon
• Velocity-determined anisotropic behaviors of RKKY interaction in 8-\textit{Pmmn} borophene
• RKKY interaction between extended magnetic defect lines in graphene
• Electric field control of the indirect magnetic coupling through a short graphene nanoribbon
• Noncollinear exchange interaction in transition metal dichalcogenide edges
• Green Functions of Graphene: An Analytic Approach
• Signatures of interfacial topological chiral modes via RKKY exchange interaction in Dirac and Weyl systems
• Yu-Shiba-Rusinov States and Ordering of Magnetic Impurities Near the Boundary of a Superconducting Nanowire
• MN4 Embedded Graphene Layers: Tunable Decay Rate of RKKY Interaction
• Structure factor of interacting one-dimensional helical systems
• Tilt-induced anomalous thermal transport in normal/superconducting borophane junctions
• Strain-induced modulation of exchange interaction in monolayer zigzag nanoribbons of B${}_2$S
• RKKY interaction in one-dimensional flat-band lattices
• Selective generation and amplification of RKKY interactions by P-N interface
• Modified exchange interaction between magnetic impurities in spin-orbit coupled quantum wires
• Anisotropic RKKY interactions mediated by $j=3/2$ quasiparticles in half-Heusler topological semimetal
• Tuning the electronic structure and magnetic coupling in armchair B${}_2$S nanoribbons using strain and staggered sublattice potential
• Sublattice Segregation of Hydrogen Adsorbates in Carbon Nanotubes
• RKKY interaction at helical edges of topological superconductors
• Dynamics of impurity in the environment of Dirac fermions
• RKKY plateau in zero- and one-dimensional triangular Kagome lattice models
• Two-dimensional parabolic Dirac system in the presence of non-magnetic and magnetic impurities
• Dynamical spin-spin susceptibility of Silicene
• Dynamic RKKY interaction between magnetic moments in graphene nanoribbons
• RKKY interaction in graphene at finite temperature
• Zitterbewegung-mediated RKKY coupling in topological insulator thin films
• RKKY interaction in Mn-doped 4 $\times$ 4 Luttinger systems
• Variable range of the RKKY interaction in edged graphene