一类一维Ising类模型的简并基态：符号动力学刻画
Degenerated ground-states in a class of 1D Ising-like models: a characterization by symbolic dynamics
摘要：
本文研究了一类具有高度简并基态构型的一维伊辛链。该模型由具有无限程对相互作用的自旋链和给定的结构组成。我们表明，这样一个模型的基态配置的集合可以完全通过符号动力学的特点。特别地，我们发现集合的基态组态定义了符号动力学中所谓的sofic位移空间.最后我们证明了该系统具有非零的剩余熵（移位空间的拓扑熵），并且可以精确计算。
英文摘要：
In this note we study a class of one-dimensional Ising chain having a highly degenerated set of ground-state configurations. The model consists of spin chain having infinite-range pair interactions with a given structure. We show that the set of ground-state configurations of such a model can be fully characterized by means of symbolic dynamics. Particularly we found that the set ground- state configurations defines what in symbolic dynamics is called sofic shift space. Finally we prove that this system has a non-vanishing residual entropy (the topological entropy of the shift space), which can be exactly calculated.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
