Symmetry, complexity and multicritical point of the two-dimensional spin glass
Symmetry, complexity and multicritical point of the two-dimensional spin glass
复制标题
二维自旋玻璃的对称性、复杂性和多临界点
DOI：
--
复制
发表时间：
2003
期刊：
影响因子：
--
通讯作者：
H. Nishimori
中科院分区：
文献类型：
--
作者：
J. Maillard;K. Nemoto;H. Nishimori
利用对称性参数，我们分析了二维正方晶格上的自旋玻璃模型。复制的伊辛和相关的自旋玻璃的配分函数示出具有许多显着的对称性作为边缘玻尔兹曼因子的函数。它示出的齐次和Hadamard逆的边缘玻尔兹曼矩阵的应用程序表明降低复杂性时，矩阵的元素满足一定的条件，这表明该系统具有特殊的简单性在这样的条件下。利用这些对偶性和对称性参数，我们提出了一个猜想的确切位置的多临界点的相图。
We analyse models of spin glasses on the two-dimensional square lattice by exploiting symmetry arguments. The replicated partition functions of the Ising and related spin glasses are shown to have many remarkable symmetry properties as functions of the edge Boltzmann factors. It is shown that the applications of homogeneous and Hadamard inverses to the edge Boltzmann matrix indicate reduced complexities when the elements of the matrix satisfy certain conditions, suggesting that the system has special simplicities under such conditions. Using these duality and symmetry arguments we present a conjecture on the exact location of the multicritical point in the phase diagram.