Duality relations and equivalences for models with O(N) and cubic symmetry
Duality relations and equivalences for models with O(N) and cubic symmetry
复制标题
DOI：
10.1016/0550-3213(81)90559-9
复制
发表时间：
1981-08
期刊：
影响因子：
--
通讯作者：
E. Domany;D. Mukamel;B. Nienhuis;A. Schwimmer
中科院分区：
文献类型：
--
作者：
E. Domany;D. Mukamel;B. Nienhuis;A. Schwimmer
对于具有O（N）和立方对称性的模型，导出了高温序列的形式表达式，并给出了蜂窝格子上特殊形式的近邻相互作用。通过对一类广义固体-固体模型和立方模型的低温序列的推导，建立了一种对偶关系。在大N极限下，级数退化为硬六边形模型的级数。
Formal expression for high-temperature series are derived for models with O(N) and cubic symmetry, with a special form of nearest neighbor interactions on the honeycomb lattice. By deriving low-temperature series for a class of generalized solid-on-solid and cubic models, a duality relation is established. Equivalences between cubic and SOS type models are also found. In the large-Nlimit, the series reduce to those of the hard hexagon model.