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Correlation between Curie temperature and system dimension

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Title: Correlation between Curie temperature and system dimension
Authors: Mayama, Hiroyuki Browse this author
Naito, Toshio Browse this author →KAKEN DB
Keywords: Curie temperature
Low-dimensional spin system
Finite size effect
Fractal dimensions of spin arrangements and lattices
Heisenberg model
Mean-field theory
Issue Date: Oct-2009
Publisher: Elsevier B.V.
Journal Title: Physica E: Low-dimensional Systems and Nanostructures
Volume: 41
Issue: 10
Start Page: 1878
End Page: 1881
Publisher DOI: 10.1016/j.physe.2009.08.013
Abstract: Curie temperature Tc of spin arrangement with arbitrary dimension was considered. We assumed that interaction of a spin with all other spins vary with a power-law decay rate in exchange integral on Heisenberg model. As a result, we found that Tc, which was obtained from Tc = λC (λ: mean-field coefficient and C: Curie constant), significantly depends on fractal dimension of spin arrangements D, the exchange integral and the decay constant. This semi-quantitatively explains how Tc depends on D (1 ≤ D ≤ 3) in a universal way and also the finite size effect on Tc in low-dimensional spin systems.
Type: article (author version)
Appears in Collections:電子科学研究所 (Research Institute for Electronic Science) > 雑誌発表論文等 (Peer-reviewed Journal Articles, etc)

Submitter: 眞山 博幸

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