Correlation between Curie temperature and system dimension

Mayama, Hiroyuki; Naito, Toshio

Physica E: Low-dimensional Systems and Nanostructures, 2009, 41(10), 1878-1881

Permalink : https://hdl.handle.net/2115/42577

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アクセス権	open access
URI	https://hdl.handle.net/2115/42577
タイトル	Correlation between Curie temperature and system dimension
著者	著者名 Mayama, Hiroyuki
著者	e-Rad_Researcher 20227713 著者名 Naito, Toshio
言語	英語
キーワード	Curie temperature
	Low-dimensional spin system
	Finite size effect
	Fractal dimensions of spin arrangements and lattices
	Heisenberg model
	Mean-field theory
発行日	2009-10
出版者	Elsevier B.V.
収録物名	Physica E: Low-dimensional Systems and Nanostructures
巻(号)	41(10)
ページ	1878-1881
抄録	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.
資源タイプ	学術雑誌論文
出版タイプ	Accepted Manuscript
PISSN	1386-9477
関連情報 (isVersionOf)	出版社版DOI https://doi.org/10.1016/j.physe.2009.08.013