Complex-temperature singularities of the susceptibility in the d = 2 Ising model
Complex-temperature singularities of the susceptibility in the d = 2 Ising model
复制标题
d = 2 Ising 模型中磁化率的复温度奇点
DOI：
10.1088/0305-4470/28/6/012
复制
发表时间：
1994
影响因子：
3.7
通讯作者：
R. Shrock
中科院分区：
文献类型：
--
作者：
V. Matveev;R. Shrock
我们报道了二维伊辛模型磁化率χ的复温度奇异性的新结果。我们对u=u3=−1处的物理临界点和奇点给出了统一的处理，得到了关系γ‘S=2(γ’−1).利用精确的结果，我们证明了在奇点u=−1处违反了普适性，并讨论了原因。我们还证明了在这一点上某些指数关系是违反的。分析了当u=χ1从对称调相、调频和原子力显微镜相逼近时的−行为。
We report new results on complex-temperature singularities of the susceptibility χ of the 2D Ising model. We give a unified treatment of both the physical critical point and the singularity at u = u 3 = −1, which yields the relation γ′ s = 2(γ′ − 1). Using exact results, we show that universality is violated at the singularity u = −1 and discuss the reasons. We also show that certain exponent relations are violated at this point. The behavior of χ is analyzed as u = −1 is approached from the symmetric PM phase and from the FM and AFM phases.