论文标题
Ising链中的挫败感和订购以及多个互动
Frustrations and orderings in Ising chain with multiple interactions
论文作者
论文摘要
考虑到在第一(最近),第二(第二名)和第三个邻居的地点,原子旋转的交换相互作用考虑了一维模型的挫败感。使用Kramers-Wannier转移矩阵方法获得了模型的精确解。确定模型基态的磁性排序类型,并构建磁相图。在交换相互作用的能量之间存在竞争的情况下,制定了标准的标准。在沮丧系统的基态下,非零熵值。
The frustration properties of the Ising model on a one-dimensional monoatomic equidistant lattice are investigated taking into account the exchange interactions of atomic spins at the sites of the first (nearest), second (next-nearest) and third neighbors. The exact solution of the model was obtained using the Kramers--Wannier transfer matrix method. The types of magnetic ordering of the ground state of the model are determined, and a magnetic phase diagram is constructed. Criteria are formulated for the occurrence of magnetic frustrations in the presence of competition between the energies of exchange interactions. Non-zero entropy values in the ground state of the frustrated system were found.