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Hokkaido University Collection of Scholarly and Academic Papers >
Graduate School of Engineering / Faculty of Engineering >
Peer-reviewed Journal Articles, etc >
Survival of short-range order in the Ising model on negatively curved surfaces
| Title: | Survival of short-range order in the Ising model on negatively curved surfaces |
| Authors: | Sakaniwa, Yasunori Browse this author | | Shima, Hiroyuki Browse this author →KAKEN DB |
| Keywords: | ferromagnetism | | Ising model | | magnetic domains | | magnetic transitions | | short-range order | | thermodynamics |
| Issue Date: | Aug-2009 |
| Publisher: | American Physical Society |
| Journal Title: | Physical Review E |
| Volume: | 80 |
| Issue: | 2 |
| Start Page: | 021103 |
| Publisher DOI: | 10.1103/PhysRevE.80.021103 |
| PMID: | 19792073 |
| Abstract: | 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. |
| Rights: | ©2009 The American Physical Society |
| Type: | article |
| URI: | http://hdl.handle.net/2115/39400 |
| Appears in Collections: | 工学院・工学研究院 (Graduate School of Engineering / Faculty of Engineering) > 雑誌発表論文等 (Peer-reviewed Journal Articles, etc)
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Submitter: 島 弘幸
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