Survival of short-range order in the Ising model on negatively curved surfaces

Sakaniwa, Yasunori; Shima, Hiroyuki

Physical Review E, 2009, 80(2), 021103

Permalink : https://hdl.handle.net/2115/39400

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アクセス権	open access
URI	https://hdl.handle.net/2115/39400
タイトル	Survival of short-range order in the Ising model on negatively curved surfaces
著者	著者名 Sakaniwa, Yasunori
著者	e-Rad_Researcher 40312392 著者名 Shima, Hiroyuki
言語	英語
キーワード	ferromagnetism
	Ising model
	magnetic domains
	magnetic transitions
	short-range order
	thermodynamics
発行日	2009-08
出版者	American Physical Society
収録物名	Physical Review E
巻(号)	80(2)
ページ	021103
抄録	We examine the ordering behavior of the ferromagnetic Ising lattice model defined on a surface with a constant negative curvature. Small-sized ferromagnetic domains are observed to exist at temperatures far greater than the critical temperature, at which the inner-core region of the lattice undergoes a mean-field phase transition. The survival of short-range order at such high temperatures can be attributed to strong boundary-spin contributions to the ordering mechanism as a result of which boundary effects remain active even within the thermodynamic limit. Our results are consistent with the previous finding of disorder-free Griffiths phase that is stable at temperatures lower than the mean-field critical temperature.
資源タイプ	学術雑誌論文
出版タイプ	Version of Record
権利情報	©2009 The American Physical Society
PISSN	1539-3755
関連情報	PMID 19792073
関連情報 (isIdenticalTo)	出版社版DOI https://doi.org/10.1103/PhysRevE.80.021103