We investigate low-temperature behaviors for an antiferromagnetic Ising model of infinite-spin on the triangular lattice. The internal energy, the specific heat, and the spontaneous sublattice-magnetizations are calculated by Monte Carlo simulations at low temperatures. The low-temperature expansions of the internal energy and the specific heat are obtained from a low-temperature expansion of the free energy and show excellent agreements with the results by the Monte Carlo simulations. The zero-temperature value of the specific heat is found to be equal to 2/3. The effects of the misfits of the first order are discussed.
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Horiguchi et al. (1992) studied this question.
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