论文标题
爱德华兹 - 安德森自旋玻璃模型中基态的独特性
Uniqueness of ground state in the Edwards-Anderson spin glass model
论文作者
论文摘要
事实证明，爱德华兹 - 安德森旋转玻璃模型中的基态在任何维度上都是独特的，对于几乎所有连续的随机交换相互作用在单个旋转都破坏全局$ {\ mathbb z} _2 $对称条件下的情况下，几乎所有连续的随机交换相互作用都是唯一的。该定理意味着在零温度下不会发生复制对称性破裂。位点和债券重叠集中在其最大值上。有人认为，短距离旋转玻璃模型的行为与零温度接近的平均田间自旋玻璃模型的行为大不相同。最后一页已附加了Errata。
It is proven rigorously that the ground state in the Edwards-Anderson spin glass model is unique in any dimension for almost all continuous random exchange interactions under a condition that a single spin breaks the global ${\mathbb Z}_2$ symmetry. This theorem implies that replica symmetry breaking does not occur at zero temperature. The site- and bond-overlap are concentrated at their maximal values. It is argued that behaviors of short range spin glass models are much different from those of mean field spin glass models near zero temperature. Errata have been attached at the final page.
