论文标题
伊辛链中的挫败感与第三次互动相互作用
Frustrations in the Ising chain with the third-neighbor interactions
论文作者
论文摘要
我们在一维单原子等距晶格上研究了Ising模型的挫败感，并考虑了原子自旋在最近的，下一个和第三个邻居的位置的交换相互作用。使用Kramers-Wannier转移矩阵技术获得了系统热力学函数的确切分析表达式。在交换相互作用的能量之间存在竞争的情况下，制定了磁性挫败感的标准。发现挫折的存在的点和间隔，这些点取决于交换相互作用的价值和迹象。研究了该模型在挫败感及其附近的熵和热容量的特征。发现了沮丧系统的基态的非零熵值，以及在挫折点附近的热容量的两峰温度结构。
We study the frustration properties of the Ising model on a one-dimensional monoatomic equidistant lattice, taking into account the exchange interactions of atomic spins at the sites of the nearest, next-nearest, and third neighbors. The exact analytical expressions for the thermodynamic functions of the system are obtained using the Kramers--Wannier transfer matrix technique. Criteria for the emergence of magnetic frustrations in the presence of competition between the energies of exchange interactions are formulated. The points and intervals of the existence of frustrations, which depend on the values and signs of the exchange interactions, are found. The features of the entropy and heat capacity of this model in the frustration regime and its vicinity are investigated. Non-zero entropy values of the ground state of a frustrated system, as well as a two-peak temperature structure of the heat capacity in the vicinity of the frustration point, are found.
