A perturbation expansion for the Sherrington-Kirkpatrick model with a transverse field
A perturbation expansion for the Sherrington-Kirkpatrick model with a transverse field
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具有横向场的 Sherrington-Kirkpatrick 模型的扰动展开
DOI：
10.1088/0022-3719/20/35/020
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发表时间：
1987
期刊：
影响因子：
--
通讯作者：
H. Ishii
中科院分区：
文献类型：
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作者：
Tetsuo Yamamoto;H. Ishii
在Sherrington-Kirkpatrick模型中研究了横向场Delta对自旋玻璃冻结的影响。在分析了副本理论的静态近似后，用微扰法计算了交换耦合Jij到十阶的非线性极化率。计算了非线性极化率的冻结温度和临界指数。结果表明，当Delta > 1.506J时，系统仍保持顺磁性（Jij的方差为J2/N），这一结果纠正了作者的猜想。它还表明，在副本理论的静态近似高估Tc的一个大的值的Delta。
In the Sherrington-Kirkpatrick model the effect of a transverse field Delta on spin glass freezing is studied. After the static approximation of the replica theory has been analysed, the nonlinear susceptibility is calculated by the perturbation method with respect to exchange coupling Jij up to the tenth order. The freezing temperature and the critical index of the nonlinear susceptibility are evaluated. The result shows that the system remains paramagnetic for Delta >1.506 J (the variance of (Jij) is J2/N), which corrects the conjecture made before by the present authors. It is also shown that the static approximation in the replica theory overestimates Tc for a large value of Delta .