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Ferromagnetic Ising spin systems on the growing random tree

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タイトル: Ferromagnetic Ising spin systems on the growing random tree
著者: Hasegawa, Takehisa 著作を一覧する
Nemoto, Koji 著作を一覧する
キーワード: exchange interactions (electron)
Ising model
magnetic susceptibility
numerical analysis
random processes
spin systems
trees (mathematics)
発行日: 2009年 8月
出版者: American Physical Society
誌名: Physical Review E
巻: 80
号: 2
開始ページ: 026126
出版社 DOI: 10.1103/PhysRevE.80.026126
抄録: We analyze the ferromagnetic Ising model on a scale-free tree; the growing random tree model with the linear attachment kernel A_k=k+α. We derive an estimate of the divergent temperature T_s below which the zero-field susceptibility of the system diverges. Our result shows that T_s is related to α as tanh(J/T_s)=α/[2(α+1)], where J is the ferromagnetic interaction. An analysis of exactly solvable limit for the model and numerical calculation supports the validity of this estimate.
Rights: ©2009 The American Physical Society
資料タイプ: article
出現コレクション:雑誌発表論文等 (Peer-reviewed Journal Articles, etc)

提供者: 根本 幸児


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