Critical behavior of the spin- 3 2 Blume-Capel model in two dimensions
Critical behavior of the spin- 3 2 Blume-Capel model in two dimensions
复制标题
二维自旋 3 2 Blume-Capel 模型的临界行为
DOI：
10.1103/physrevb.57.11575
复制
发表时间：
1998
影响因子：
3.7
通讯作者：
J. A. Plascak
中科院分区：
文献类型：
--
作者：
J. Xavier;F. C. Alcaraz;D. P. Lara;J. A. Plascak
利用传统的有限尺寸标度、共形不变性和Monte Carlo方法研究了自旋为3/2的Blume-Capel模型的二维相图。在其$\tau$-连续哈密顿版本的模型也被认为是和其他自旋3/2量子链进行比较。结果表明，与标准自旋1的Blume-Capel模型不同，在有序-无序转变线上没有沿着多临界点.这与平均场预测定性一致，但与以前的近似重正化群计算不一致。我们还提出了自旋为1的Blume-Capel模型的新结果。
The phase diagram of the spin-3/2 Blume-Capel model in two dimensions is explored by conventional finite-size scaling, conformal invariance and Monte Carlo simulations. The model in its $\tau$-continuum Hamiltonian version is also considered and compared with others spin-3/2 quantum chains. Our results indicate that differently from the standard spin-1 Blume-Capel model there is no multicritical point along the order-disorder transition line. This is in qualitative agreement with mean field prediction but in disagreement with previous approximate renormalization group calculations. We also presented new results for the spin-1 Blume-Capel model.