用图形展开技术计算Bethe—type格子上 Ising模型的关联函数

CALCULATION OF THE CORRELATION FUNCTIONOF THE ISING MODEL ON BETHE-TYPE LATTICEWITH GRAPH EXPANSION APPROACH

采用组合近似和图形展开技术计算了Bethe—type格子上Ising模型的多自旋关联函数。结果表明,在任何有限温度都不存在长程关联,这意味着没有有限温度的相变发生。

The multi-spin correlation function of the Ising model on Bethe-type lattice is calculated with combinatorial approach and graph expansion method. The results indicate no existence of the long range correlation at any finite temperature, which implies that no finite temperature phase transition occurs.