Crossover Exponent of the Spin Anisotropic n-Vector Model with Short-Range Interaction in 1/n Expansion
Crossover Exponent of the Spin Anisotropic n-Vector Model with Short-Range Interaction in 1/n Expansion
复制标题
1/n展开中短程相互作用的自旋各向异性n矢量模型的交叉指数
DOI：
10.1143/ptp.52.369
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发表时间：
1974
影响因子：
--
通讯作者：
R. Abe
中科院分区：
文献类型：
--
作者：
S. Hikami;R. Abe
研究了自旋各向异性矢量模型在1/n展开下的临界行为。各向异性的临界指数（交叉指数）推导出的权力1/n到一阶考虑临界温度的转变，并通过研究的各向异性参数的磁化率的导数。结果表明，所得到的交叉指数φ= 2/（d-2）+ 4γ1/3 n +O（n-2）与Wilson ε展开式的结果一致.
The critical behavior of a spin anisotropicn-vector model is studied in 1/nexpansion. The critical exponent for the anisotropy (the crossover exponent) is derived in powers of 1/nto first order by considering the shift of critical temperature and by studying the derivatives of the susceptibility with respect to the anisotropic parameter. It is shown that obtained crossover exponent φ= 2/(d-2) + 4γ1/3n+O(n-2) is consistent with the result of Wilson's ε expansion.