Ferromagnetic to Paramagnetic Transition in Spherical Spin Glass
Ferromagnetic to Paramagnetic Transition in Spherical Spin Glass
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DOI：
10.1007/s10955-018-2150-6
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发表时间：
2018-05
影响因子：
1.6
通讯作者：
J. Baik;J. Lee;Hao Wu
中科院分区：
文献类型：
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作者：
J. Baik;J. Lee;Hao Wu
我们考虑由纯2自旋球面Sherrington-Kirkpatrick哈密顿量和铁磁Curie-Weiss哈密顿量组合定义的球面自旋玻璃模型。在大系统极限下，存在关于温度和耦合强度的二维相图。相图分为三个区域：铁磁区域、顺磁区域和自旋玻璃区域。自由能的涨落在每个区域都是已知的。在本文中，我们在临界尺度上研究了铁磁区和顺磁区之间的转变。
We consider the spherical spin glass model defined by a combination of the pure 2-spin spherical Sherrington–Kirkpatrick Hamiltonian and the ferromagnetic Curie–Weiss Hamiltonian. In the large system limit, there is a two-dimensional phase diagram with respect to the temperature and the coupling strength. The phase diagram is divided into three regimes; ferromagnetic, paramagnetic, and spin glass regimes. The fluctuations of the free energy are known in each regime. In this paper, we study the transition between the ferromagnetic regime and the paramagnetic regime in a critical scale.