Correlation between Curie temperature and system dimension |
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| Authors: | Hiroyuki Mayama Toshio Naito |
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| Affiliation: | aNanotechnology Research Center, Research Institute for Electronic Science, Hokkaido University, Sapporo 001-0021, Japan;bDepartment of Chemistry, Graduate School of Science, Hokkaido University, Sapporo 060-0810, Japan |
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| 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. |
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| Keywords: | Curie temperature Low-dimensional spin system Finite size effect Fractal dimensions of spin arrangements and lattices Heisenberg model Mean-field theory |
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