Phase transitions in a frustrated Ising antiferromagnet on a square lattice

Abstract

The phase transitions occurring in the frustrated Ising square antiferromagnet with first- ($J_1<0$) and second- ($J_2<0$) nearest-neighbor interactions are studied within the framework of the effective-field theory with correlations based on the different cluster sizes and for a wide range of $R=J_2/|J_1|$. Despite the simplicity of the model, it has proved difficult to precisely determine the order of the phase transitions. In contrast to the previous effective-field study, we have found a first-order transition line in the region close to $R=-0.5$ not only between the superantiferromagnetic and paramagnetic ($R<-0.5$) but also between antiferromagnetic and paramagnetic ($R>-0.5$) phases.

16 pages, 6 figures

References in corpus (4)

• Phase diagram of the Ising square lattice with competing interactions
• Phase Diagram of a Diluted Triangular Lattice Ising Antiferromagnet in a Field
• Effects of selective dilution on phase diagram and ground-state magnetizations of an Ising antiferromagnet on triangular and honeycomb lattices
• Critical and tricritical behavior of a selectively diluted triangular Ising antiferromagnet in a field

Cited by in corpus (9)

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• Metastable states in the J1-J2 Ising model
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• The frustrated Ising model on the body-centered cubic lattice
• Phase determination with and without deep learning
• Free energy and metastable states in the square-lattice $J_1$-$J_2$ Ising model
• Frustrated Ising model on the honeycomb lattice: Metastability and universality
• Two-dimensional $J_1$-$J_2$ clock model: Enhanced symmetries, emergent orders, and Landau-incompatible transitions
• Numerical transfer matrix study of frustrated next-nearest-neighbor Ising models on square lattices