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Correlation between Curie temperature and system dimension
| Title: | Correlation between Curie temperature and system dimension |
| Authors: | Mayama, Hiroyuki Browse this author | | Naito, Toshio Browse this author →KAKEN DB |
| Keywords: | Curie temperature | | Low-dimensional spin system | | Finite size effect | | Fractal dimensions of spin arrangements and lattices | | Heisenberg model | | Mean-field theory |
| Issue Date: | Oct-2009 |
| Publisher: | Elsevier B.V. |
| Journal Title: | Physica E: Low-dimensional Systems and Nanostructures |
| Volume: | 41 |
| Issue: | 10 |
| Start Page: | 1878 |
| End Page: | 1881 |
| Publisher DOI: | 10.1016/j.physe.2009.08.013 |
| Abstract: | Curie temperature Tc of spin arrangement with arbitrary dimension was considered. We assumed that interaction of a spin with all other spins vary with a power-law decay rate in exchange integral on Heisenberg model. As a result, we found that Tc, which was obtained from Tc = λC (λ: mean-field coefficient and C: Curie constant), significantly depends on fractal dimension of spin arrangements D, the exchange integral and the decay constant. This semi-quantitatively explains how Tc depends on D (1 ≤ D ≤ 3) in a universal way and also the finite size effect on Tc in low-dimensional spin systems. |
| Type: | article (author version) |
| URI: | http://hdl.handle.net/2115/42577 |
| Appears in Collections: | 電子科学研究所 (Research Institute for Electronic Science) > 雑誌発表論文等 (Peer-reviewed Journal Articles, etc)
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Submitter: 眞山 博幸
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