Magnetic Phase Diagram for the Triangular Ising Lattice

The Ising model on the triangular lattice with antiferromagnetic nearest-neighbor and ferromagnetic second neighbor interactions is treated using the cluster variation method with a hexagon of seven spins as the basic cluster. The para, the partial disordered (PD), the two sublattice ferri and the three-sublattice ferri phases and their boundaries are derived. The results are examined varying temperature, magnetization and the magnetic field, and are compared with the previous work by Kaburagi, Tonegawa and Kanamori. The trend is noticed that the PD phase shrinks as the approximation is improved.

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