Magnetic Correlations at Graphene Edges

TL;DR

This study investigates magnetic fluctuations at graphene zigzag edges, revealing high spin wave stiffness and limited magnetic order at room temperature, with implications for spintronics device design.

Contribution

First-principles analysis of magnetic fluctuations at graphene edges, providing quantitative data on spin stiffness, domain wall energy, and temperature-dependent magnetic correlation lengths.

Findings

High spin wave stiffness D = 2100 meV Å^2

Magnetic correlation length limited to ~1 nm at 300 K

Exponential growth of correlation length below 10 K

Abstract

Magnetic zigzag edges of graphene are considered as a basis for novel spintronics devices despite the fact that no true long-range magnetic order is possible in one dimension. We study the transverse and longitudinal fluctuations of magnetic moments at zigzag edges of graphene from first principles. We find a high value for the spin wave stiffness $D$ = 2100 meV \AA$^2$ and a spin-collinear domain wall creation energy $E_dw$ = 114 meV accompanied by low magnetic anisotropy. Above the crossover temperature $T_x \approx$10 K the spin correlation length $\xi \propto T^{-1}$ limits the long-range magnetic order to ~1 nm at 300 K while below $T_x$ it grows exponentially with decreasing temperature. We discuss possible ways of increasing the range of magnetic order and effects of edge roughness on it.