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Extension of the Bloch T^3/2^ Law to Magnetic Nanostructures: Bose-Einstein Condensation

Published

Author(s)

Edward Della Torre, Lawrence H. Bennett, R E. Watson

Abstract

The Bloch spin-wave T law for the temperature dependence of magnetization 3/2 is one of the most fundamental in the theory of ferromagnetism. An experimental upturn (break in slope) from the T law in the magnetization has 3/2 been observed in nanostructured ferromagnets. It is shown that the introduction of a system s chemical potential and the assumption of a Bose-Einstein BE condensation at a temperature T, into the traditional theory leading to Bloch s T law yields the observed upturn in the magnetization. This is the first direct 3/2 evidence of the effect of the chemical potential on the density of magnons.
Citation
Physical Review Letters
Volume
94

Keywords

Bose-Einstein Condensation, chemical potential, magnetization, nanostructures

Citation

Della Torre, E. , Bennett, L. and Watson, R. (2005), Extension of the Bloch T^3/2^ Law to Magnetic Nanostructures: Bose-Einstein Condensation, Physical Review Letters (Accessed October 11, 2025)

Issues

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Created March 31, 2005, Updated October 12, 2021
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