2010/03/29 by Thomas Fabritius, Nicolas Laflorencie, Stefan Wessel +1
Materials Science · Physics and Astronomy · #Antiferromagnetism #Condensed matter physics #Ferromagnetism #Graphene #Graphene research and applications #Lattice (music) #Magnetic moment #Materials science #Monte Carlo method #Physics #Quantum and electron transport phenomena #Quantum mechanics #RKKY interaction #Scaling #Theoretical and Computational Physics #cond-mat.other #cond-mat.str-el
paper · pdf · doi:10.1103/physrevb.82.035402
published as Phys. Rev. B 82, 035402 (2010) · 8 pages, 8 figures
arxiv created 2010/03/29 · openalex publication_date 2010/07/01 · arxiv updated 2010/10/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We employ large-scale quantum Monte Carlo simulations to study the magnetic ordering transition among dilute magnetic moments randomly localized on the graphene honeycomb lattice, induced by long-ranged Ruderman-Kittel-Kasuya-Yoshida interactions at low charge-carrier concentration. In this regime the effective exchange interactions are ferromagnetic within each sublattice, and antiferromagnetic between opposite sublattices, with an overall cubic decay of the interaction strength with the separation between the moments. We verify explicitly, that this commensurability leads to antiferromagnetic order among the magnetic moments below a finite transition temperature in this two-dimensional system. Furthermore, the ordering temperature shows a crossover in its power-law scaling with the moments' dilution from a low- to a high-concentration regime.