Ferromagnetic Ising spin systems on the growing random tree


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Please use this identifier to cite or link to this item:http://hdl.handle.net/2115/39337

Title:	Ferromagnetic Ising spin systems on the growing random tree
Authors:	Hasegawa, Takehisa Browse this author
Authors:	Nemoto, Koji Browse this author →KAKEN DB
Keywords:	exchange interactions (electron)
	ferromagnetism
	Ising model
	magnetic susceptibility
	numerical analysis
	random processes
	spin systems
	trees (mathematics)
Issue Date:	Aug-2009
Publisher:	American Physical Society
Journal Title:	Physical review E
Volume:	80
Issue:	2
Start Page:	026126
Publisher DOI:	10.1103/PhysRevE.80.026126
PMID:	19792219
Abstract:	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
Type:	article
URI:	http://hdl.handle.net/2115/39337
Appears in Collections:	理学院・理学研究院 (Graduate School of Science / Faculty of Science) > 雑誌発表論文等 (Peer-reviewed Journal Articles, etc)

Submitter: 根本幸児

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