Diluted Graphene Antiferromagnet

Abstract

We study RKKY interactions between local magnetic moments for both doped and undoped graphene. We find in both cases that the interactions are primarily ferromagnetic for moments on the same sublattice, and antiferromagnetic for moments on opposite sublattices. This suggests that at sufficiently low temperatures dilute magnetic moments embedded in graphene can order into a state analogous to that of a dilute antiferromagnet. We find that in the undoped case one expects no net magnetic moment, and demonstrate numerically that this effect generalizes to ribbons where the magnetic response is strongest at the edge, suggesting the possibility of an unusual spin-transfer device. For doped graphene we find that moments at definite lattice sites interact over longer distances than those placed in interstitial sites of the lattice ($1/R^2$ vs. $1/R^3$) because the former support a Kohn anomaly that is suppressed in the latter due to the absence of backscattering.

5 pages, two figures included

References in corpus (9)

• Electric Field Effect in Atomically Thin Carbon Films
• Half-Metallic Graphene Nanoribbons
• Dielectric function, screening, and plasmons in 2D graphene
• Magnetism in Graphene Induced by Single-Atom Defects
• Electronic States of Graphene Nanoribbons
• Dynamical polarization of graphene at finite doping
• Friedel oscillations, impurity scattering and temperature dependence of resistivity in graphene
• Graphene: A Pseudochiral Fermi Liquid
• Magnetic Percolation and the Phase Diagram of the Disordered RKKY model

Cited by in corpus (9)

• The electronic properties of graphene
• Magnetism in graphene nano-islands
• Magnetic Correlations at Graphene Edges
• Vacancy induced magnetism in graphene and graphene ribbons
• Magnetism in Disordered Graphene and Irradiated Graphite
• Screening, Kohn anomaly, Friedel oscillation, and RKKY interaction in bilayer graphene
• Interactions and magnetism in graphene boundary states
• MagnetoResistance of graphene-based spin valves
• Weak momentum scattering and the conductivity of graphene