This article is cited in 31 papers

CONDENSED MATTER

Phase transitions and critical characteristics in the layered antiferromagnetic Ising model with next-nearest-neighbor intralayer interactions

M. K. Ramazanov^a, A. K. Murtazaev<sup>ab

a</sup> Amirkhanov Institute of Physics, Dagestan Scientific Center, Russian Academy of Sciences, ul. Yaragskogo 94, Makhachkala, 367003, Russia
^b Dagestan State University, ul. Gadzhieva 43a, Makhachkala, 367025, Russia

Abstract: Phase transitions and critical characteristics of the layered antiferromagnetic Ising model in the case of a cubic lattice with next-nearest-neighbor intralayer interactions are studied in the framework of the Monte Carlo method implementing the replica algorithm. The characteristics of the phase transitions are analyzed within the histogram method and with the Binder cumulants. For the model under study, it is found that the transition from the superantiferromagnetic phase to the paramagnetic one is a second order phase transition. The static critical exponents for the specific heat $\alpha$, susceptibility $\gamma$, order parameter $\beta$, correlation radius $\nu$, and the Fisher exponent $\eta$ are calculated using the finite-size scaling theory. It is shown that the three-dimensional Ising model for the cubic lattice with next-nearest-neighbor interactions belongs to the same universality class of critical behavior as the completely frustrated three-dimensional Ising model.

Received: 10.04.2015
Revised: 17.04.2015

DOI: 10.7868/S0370274X15100124

 English version: Journal of Experimental and Theoretical Physics Letters, 2015, 101:10, 714–718

Bibliographic databases:

• 
• 
• 
•