论文标题
在外部磁场中与第三次互动的外部磁场中的Ising链中的挫败感和订购
Frustration and ordering in Ising chain in an external magnetic field with third-neighbor interactions
论文作者
论文摘要
在本文中，考虑了在第一，第二和第三个邻居的地点的原子旋转的交换相互作用，研究了外部磁场中的一维单原子等距晶格的挫败感。 Kramers-Wannier Transs-Matrix方法获得了系统热力学功能的精确分析表达式。构建和研究了这种自旋系统的基态的磁相图。根据交换相互作用的值和迹象，发现了系统的挫败点和线的点。在配制了交换相互作用和外部磁场能量之间存在竞争的情况下，出现磁挫败感的标准。研究了特殊的特征，并在挫败感方面及其超越该模型获得了该模型的熵和磁化值的值。根据模型参数的不同，熵，磁化和磁敏感性的各种类型的行为。
In this paper, the frustration properties of the Ising model on a one-dimensional monoatomic equidistant lattice in an external magnetic field are investigated, taking into account the exchange interactions of atomic spins at the sites of the first, second, and third neighbors. Exact analytical expressions for the thermodynamic functions of the system are obtained by the Kramers--Wannier transfer-matrix method. A magnetic phase diagram of the ground state of such a spin system is constructed and studied thoroughly. The points and lines of frustrations of the system depending on the values and signs of exchange interactions and on an external magnetic field are found. The criteria for the occurrence of magnetic frustrations in the presence of competition between the energies of exchange interactions and an external magnetic field are formulated. The peculiar features are investigated and the values of entropy and magnetization of the ground state of this model are obtained in the frustration regime and beyond it. Various types of behavior of entropy, magnetization, and magnetic susceptibility depending on the model parameters are revealed.
