RKKY Interaction in Disordered Graphene

Abstract

We investigate the effects of nonmagnetic disorder on the Ruderman-Kittel-Kasuya-Yoshida (RKKY) interaction in graphene by studying numerically the Anderson model with on-site and hopping disorder on a honeycomb lattice at half filling. We evaluate the strength of the interaction as a function of the distance R between two magnetic ions, as well as their lattice positions and orientations. In the clean limit, we find that the strength of the interaction decays as 1/R^3, with its sign and oscillation amplitude showing strong anisotropy. With increasing on-site disorder, the mean amplitude decreases exponentially at distances exceeding the elastic mean free path. At smaller distances, however, the oscillation amplitude increases strongly and its sign changes on the same sublattice for all directions but the armchair direction. For random hopping disorder, no sign change is observed. No significant changes to the geometrical average values of the RKKY interaction are found at small distances, while exponential suppression is observed at distances exceeding the localization length.

4+ε pages, 5 figures

References in corpus (6)

• Electric Field Effect in Atomically Thin Carbon Films
• The electronic properties of graphene
• The Kernel Polynomial Method
• RKKY in half-filled bipartite lattices: graphene as an example
• RKKY Interaction in Graphene from Lattice Green's Function
• Anderson Transition in Disordered Graphene

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• MN4 Embedded Graphene Layers: Tunable Decay Rate of RKKY Interaction
• Theory of Vacancy-Induced Intrinsic Magnetic Impurity with Quasi-Localized Spin Moment in Graphene
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• Critical temperature of two-dimensional hydrogenated multilayer graphene-based diluted ferromagnet
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• Magnetic Quantum Phase Diagram of Magnetic Impurities in 2 Dimensional Disordered Electron Systems
• Fragile magnetic order in metallic quasicrystals
• Dual Universality and Unconventional Phase Diagram of a Clean 2D Superconductor with Tunable Disorders