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The Ising square lattice model with nearest-neighbor (nn) interactions($J_1$) is one of the few exactly solvable models [1]. Adding next-neareast-neighbor (nnn) interactions ($J_2$) or a magnetic field (or both) leads to thenon solvability of the model and only some approximate solutions are possible.In this brief report we will review some results obtained within effectivefield theory. We will show that besides second-order transitions there are alsolines of first-order transitions and the coordinates of tricritical points arecalculated.

Tricritical Properties of Antiferromagnetic Ising Model on the Square Lattice