小世界网络中的反铁磁伊辛模型
Antiferromagnetic Ising model in small-world networks
摘要：
研究了二维规则晶格小世界网络中的反铁磁伊辛模型。由长程连接引入的无序引起挫折，这在低温下引起自旋玻璃相。已经进行了蒙特卡罗模拟来研究顺磁到自旋玻璃转变，作为重新布线概率p的函数，其测量无序强度。转变温度Tc随着无序度的增加而下降，当p > 0.4时，饱和至Tc ~ 1.7 J，J为反铁磁耦合。对于小的p和在低温下，能量与p线性增加。在强无序极限p=1，这个模型相当于一个短程+-J自旋玻璃在随机网络。
英文摘要：
The antiferromagnetic Ising model in small-world networks generated from two-dimensional regular lattices has been studied. The disorder introduced by long-range connections causes frustration, which gives rise to a spin-glass phase at low temperature. Monte Carlo simulations have been carried out to study the paramagnetic to spin-glass transition, as a function of the rewiring probability p, which measures the disorder strength. The transition temperature Tc goes down for increasing disorder, and saturates to a value Tc ~ 1.7 J for p > 0.4, J being the antiferromagnetic coupling. For small p and at low temperature, the energy increases linearly with p. In the strong-disorder limit p=1, this model is equivalent to a short-range +-J spin glass in random networks.
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