论文标题
田间的随机键键抗铁磁ising模型
Random-bond antiferromagnetic Ising model in a field
论文作者
论文摘要
使用组合优化技术，我们研究具有均匀分布的随机反铁磁耦合$（1 \ le j_i \ le 2）$的二维和三维ISING模型，在同一般纵向场，$ h $，在零温度下。在线性尺寸的有限系统中，当站点在同一子级别上，或者它们属于不同的子层次时，我们测量平均相关函数，$ c_l（\ ell，h）$。纯系统中的一阶转换，在二维中转向混合顺序，关键指数$ 1/ν\约0.5 $和$η\约0.7 $。在三个维度中，我们获得了$ 1/ν\大约0.7 $，这与随机场ISING模型的值兼容，但是我们不能区分二阶和混合阶过渡。
Using combinatorial optimisation techniques we study the critical properties of the two- and the three-dimensional Ising model with uniformly distributed random antiferromagnetic couplings $(1 \le J_i \le 2)$ in the presence of a homogeneous longitudinal field, $h$, at zero temperature. In finite systems of linear size, $L$, we measure the average correlation function, $C_L(\ell,h)$, when the sites are either on the same sub-lattice, or they belong to different sub-lattices. The phase transition, which is of first-order in the pure system, turns to mixed order in two dimensions with critical exponents $1/ν\approx 0.5$ and $η\approx 0.7$. In three dimensions we obtain $1/ν\approx 0.7$, which is compatible with the value of the random-field Ising model, but we cannot discriminate between second-order and mixed-order transitions.
