A study of the critical properties of the Ising model on body-centered cubic lattice taking into account the interaction of next behind nearest neighbors

作者：Murtazaev A K; Ramazanov M K; Kurbanova D R; Badiev M K; Abuev Ya K

来源：Physics of the Solid State, 2017, 59(6): 1103-1109.

DOI：10.1134/S1063783417060166

The replica Monte Carlo method has been used to investigate the critical behavior of a threedimensional antiferromagnetic Ising model on a body-centered cubic lattice, taking into account interactions of the adjacent behind neighbors. Investigations are carried out for the ratios of the values of exchange interactions behind the nearest and next nearest neighbors k = J (2)/J (1) in the range of k a [0.0, 1.0] with the step Delta k = 0.1. In the framework of the theory of finite-dimensional scaling the static critical indices of heat capacity alpha, susceptibility gamma, of the order parameter beta, correlation radius nu, and also the Fisher index eta are calculated. It is shown that the universality class of the critical behavior of this model is kept in the interval of k a [0.0, 0.6]. It is established that a nonuniversal critical behavior is observed in the range k a [0.8, 1.0].

• 出版日期2017-6