Abstract
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 language | English |
|---|---|
| Article number | 224409 |
| Journal | Physical Review B - Condensed Matter and Materials Physics |
| Volume | 76 |
| Issue number | 22 |
| DOIs | |
| Publication status | Published - Dec 12 2007 |
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ASJC Scopus subject areas
- Condensed Matter Physics
Cite this
Size dependence of ferromagnetism in gold nanoparticles : Mean field results. / Michael, Fredrick; Gonzalez, Carlos; Mujica, Vladimiro; Marquez, Manuel; Ratner, Mark A.
In: Physical Review B - Condensed Matter and Materials Physics, Vol. 76, No. 22, 224409, 12.12.2007.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Size dependence of ferromagnetism in gold nanoparticles
T2 - Mean field results
AU - Michael, Fredrick
AU - Gonzalez, Carlos
AU - Mujica, Vladimiro
AU - Marquez, Manuel
AU - Ratner, Mark A
PY - 2007/12/12
Y1 - 2007/12/12
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=37249029920&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=37249029920&partnerID=8YFLogxK
U2 - 10.1103/PhysRevB.76.224409
DO - 10.1103/PhysRevB.76.224409
M3 - Article
AN - SCOPUS:37249029920
VL - 76
JO - Physical Review B-Condensed Matter
JF - Physical Review B-Condensed Matter
SN - 1098-0121
IS - 22
M1 - 224409
ER -