Size dependence of ferromagnetism in gold nanoparticles: Mean field results

Fredrick Michael*, Carlos Gonzalez, Vladimiro Mujica, Manuel Marquez, Mark A. Ratner

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

59 Scopus citations


In this paper, a simple spin-spin Ising interaction model for the surface ferromagnetism is combined with the bulk Au diamagnetic response to model the size dependence of the magnetization of a Au nanoparticle. Using the maximum entropy formalism, we obtain the average temperature dependent magnetization within a mean field model. Our results qualitatively reproduce recent experimental observations of size-dependent magnetization of Au nanoparticles in which the ferromagnetic moment of thiol-capped nanoparticles is seen to increase for diameters larger than 0.7 nm, peaking at approximately 3 nm, and subsequently decreasing as the particle diameter increases further.

Original languageEnglish (US)
Article number224409
JournalPhysical Review B - Condensed Matter and Materials Physics
Issue number22
StatePublished - Dec 12 2007

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics


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