负曲面上伊辛模型中短程序的生存性
Survival of short-range order in the Ising model on negatively curved surfaces
摘要：
我们研究了定义在具有恒定负曲率的表面上的铁磁伊辛晶格模型的有序行为。小尺寸的铁磁畴被观察到存在的温度远大于临界温度，在该温度下的晶格的内核区域进行平均场相变。短程有序在如此高的温度下的生存可以归因于强的边界自旋贡献的有序机制，作为其结果，即使在热力学极限内的边界效应仍然活跃。我们的结果与先前发现的无无序Griffiths相是稳定的温度低于平均场临界温度是一致的。
英文摘要：
We examine the ordering behavior of the ferromagnetic Ising lattice model defined on a surface with a constant negative curvature. Small-sized ferromagnetic domains are observed to exist at temperatures far greater than the critical temperature, at which the inner core region of the lattice undergoes a mean-field phase transition. The survival of short-range order at such high temperatures can be attributed to strong boundary-spin contributions to the ordering mechanism, as a result of which boundary effects remain active even within the thermodynamic limit. Our results are consistent with the previous finding of disorder-free Griffiths phase that is stable at temperatures lower than the mean-field critical temperature.
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