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鉴于通常研究自旋玻璃理论中所用Replicas方法在物理意义上的模糊性及存在争论,作者采用格林函数法研究了自旋玻璃的相图等问题.对伊辛情况,得出与EA-SK一致的结论.作者又计算了海森堡情况,给出了相图及边界线方程.作者只考虑自旋S=?和最近邻相互作用情况,认为非晶性表现为相互作用Jij的涨落,并设Jij满足高斯分布,J_0、J_2分别为其平均值及二次矩.
In view of the physical ambiguity of the Replicas method used in the theory of spin-glass and its controversy, the author studied the problem of the phase diagram of spin-glass using the Green’s function method, which is consistent with that of EA-SK The author also calculated the Heisenberg condition and given the phase diagram and the boundary line equation.The author only considers the interaction between the spin S =? And the nearest neighbor and considers the non-crystalline behavior as the fluctuation of the Jij interaction, And let Jij satisfy the Gaussian distribution, J_0, J_2, respectively, their average and second moment.