Investigation of critical phenomena of the frustrated Ising model on a cubic lattice with next-nearest-neighbor intralayer interactions by the Monte Carlo method

Phase transitions and critical properties of the frustrated Ising model on a cubic lattice with next-nearest-neighbor intralayer interactions are investigated by the replica Monte Carlo method. Estimations are made for the magnitude relation of the next-nearest-neighbor and nearest-neighbor exchange interactions r = J(2)/J(1) in the value ranges of r is an element of [0.0, 1.0]. The phase diagram of the dependence of critical temperature on the next-nearest-neighbor interaction has been plotted. The static critical exponents of the heat capacity, the susceptibility, the ordering parameter and the correlation length as well as the Fisher exponent are calculated by means of the finite-size scaling theory. The universality class of the critical behavior of this model is revealed to remain within the limits of values r is an element of [0.0, 0.4]. It is found that the change in the next-nearest-neighbor interaction value in the range of r is an element of [0.9, 1.0] leads to another critical behavior.