1984 年 53 巻 1 号 p. 250-260
It is shown that the lattice gas version of the Ising model on the honeycomb lattice has infinite series of the regularly ordered ground states in the concentration range around the density x=1⁄2 when pairwise interactions satisfy the conditions given by V1>4V2−2V3 and V2>V3≥0 or those by V1>4V2−3V3, 2V2>V3, and V3≤0 with V1, V2 and V3 denoting the interaction constants of the first, second and third neighboring pairs, respectively; a positive interaction constant corresponds to a repulsive interaction. The equivalent Ising spin system has an infinite number of steps in the magnetization vs. field relation. Three kinds of infinite series of the ground states are found when the interaction constants are varied within the abovementioned conditions.
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