Geometric effects on critical behaviours of the Ising model

Shima, Hiroyuki; Sakaniwa, Yasunori

Journal of Physics A Mathematical and General, 2006, 39(18), 4921-4933

Permalink : https://hdl.handle.net/2115/14508

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アクセス権	open access
URI	https://hdl.handle.net/2115/14508
タイトル	Geometric effects on critical behaviours of the Ising model
著者	e-Rad_Researcher 40312392 著者名 Shima, Hiroyuki
著者	著者名 Sakaniwa, Yasunori
言語	英語
発行日	2006-05-05
出版者	Institute of Physics
収録物名	Journal of Physics A Mathematical and General
巻(号)	39(18)
ページ	4921-4933
抄録	We investigate the critical behaviour of the two-dimensional Ising model defined on a curved surface with a constant negative curvature. Finite-size scaling analysis reveals that the critical exponents for the zero-field magnetic susceptibility and the correlation length deviate from those for the Ising lattice model on a flat plane. Furthermore, when reducing the effects of boundary spins, the values of the critical exponents tend to those derived from the mean field theory. These findings evidence that the underlying geometric character is responsible for the critical properties of the Ising model when the lattice is embedded on negatively curved surfaces.
資源タイプ	学術雑誌論文
出版タイプ	Accepted Manuscript
PISSN	0305-4470
EISSN	1361-6447
関連情報	URI http://www.iop.org/EJ/journal/JPhysA
関連情報 (isVersionOf)	出版社版DOI https://doi.org/10.1088/0305-4470/39/18/010