Phase transitions in Ising square antiferromagnets with first- and second-neighbour interactions
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abstract
The phase transitions occurring in the Ising square antiferromagnet with first- (J1) and second- (J2) nearest-neighbour interactions are studied using several mean-field approximations and for a wide range of R=J2/J1. The largest approximation used corresponds to a nine-point cluster approximation of the cluster variation method. In this case, the transition temperatures as a function of R are found to be in excellent agreement with those obtained by other methods. The mean-field approximations predict a first-order transition in the range 0.5
Cluster variation method; First neighbor interactions; Ising square antiferromagnet; Magnetic susceptibility; Mean field approximation; Second neighbor interactions; Spinodal; Superantiferromagnetic order; Transition temperature; Antiferromagnetic materials; Approximation theory; Magnetic properties; Magnetization; Specific heat; Phase transitions