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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• Noncollinear twisted RKKY interaction on the optically driven SnTe(001) surface
• Indirect RKKY interaction in armchair graphene nanoribbons
• Coupled superconducting spin qubits with spin-orbit interaction
• Indirect coupling between localized magnetic moments in triangular graphene nanoflakes
• RKKY interaction between extended magnetic defect lines in graphene
• Electric field control of the indirect magnetic coupling through a short graphene nanoribbon
• Green Functions of Graphene: An Analytic Approach
• 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
• 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
• RKKY interaction in one-dimensional flat-band lattices
• RKKY interaction at helical edges of topological superconductors
• Dynamic RKKY interaction between magnetic moments in graphene nanoribbons
• Zitterbewegung-mediated RKKY coupling in topological insulator thin films
• RKKY interaction in graphene at finite temperature