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Frustrations in the Ising chain with the third-neighbor interactions
Journal of Magnetism and Magnetic Materials ( IF 2.7 ) Pub Date : 2020-11-01 , DOI: 10.1016/j.jmmm.2020.167144
A.V. Zarubin , F.A. Kassan-Ogly , A.I. Proshkin

Abstract 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.

中文翻译:

伊辛链中与第三邻居交互的挫折

摘要 我们研究了 Ising 模型在一维单原子等距晶格上的挫败特性,同时考虑了最近、次近和第三邻居位置处原子自旋的交换相互作用。系统热力学函数的精确解析表达式是使用 Kramers-Wannier 传递矩阵技术获得的。制定了在交换相互作用能量之间存在竞争时出现磁挫败的标准。发现挫折存在的点和间隔,这取决于交换互动的价值和迹象。研究了该模型在挫折状态及其附近的熵和热容量的特征。受挫系统基态的非零熵值,
更新日期:2020-11-01
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