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S. COJOCARU1,*
Saturation magnetization of nanosize ferromagnets (nanoparticles and nanoclusters) does not follow the Bloch T3/2 law, known to be valid for macroscopic materials. In the absence of the „small size” formula of magnetization one usually uses a phenomenological power law Tα with a size dependent exponent α , which is motivated simply by its flexibility in fitting the observed behavior. We argue on the inconsistency of such a desciption and present an analytic derivation of the respective expression for magnetization in which generalizes the Bloch formula to a finite size system. Comparison to the experimental data on nanoclusters and nanoparticles demonstrates a good agreement with this expression and its utility for a better understanding of the underlying physics..
Magnon gas, Nanomagnets, Bloch law.
S. COJOCARU, Temperature dependence of magnetization of a nanosize Heisenberg ferromagnet, Optoelectronics and Advanced Materials - Rapid Communications, 5, 11, November 2011, pp.1196-1201 (2011).
Submitted at: June 22, 2011
Accepted at: Nov. 23, 2011
Optoelectronics and Advanced Materials - Rapid Communications
(2024): Impact Factor = 0.4 - Journal Citation Reports (Clarivate Analytics, 2025)
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