Abstract
We show that at low temperature an Ising spin system with antiferromagnetic interaction in a small enough external magnetic field has only one translationally invariant state.
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Fortuin, J., Ginibre, J., Kasteleyn, P. W.: Commun. math. Phys.22, 89 (1961).
Gallavotti, G., Miracle-Sole, S.: Phys. Rev.B5, (7) 2555 (1972).
Minlos, R. A., Sinai, Ya. G.: Trudy Moskov Mat. Obs.17 (1967). English translation of Trans. Moscow Math. Soc.17, 237 (1967).
Minlos, R. A., Sinai, Ya. G.: Part 2 Trudy Moskov Mat. Obs.19 (1968).
Gallavotti, G., Martin-Löf, A.: Commun. math. Phys.25, 87 (1972).
Dobruschin, R. L.: Funkt. Anal. Ego Pril.2 (4), 44 (1968). English translation Funct. Anal. Appl.2 (4), 302 (1968).
Lanford, O. E., Ruelle, D.: Commun. math. Phys.13, 194 (1969).
Fisher, M. E.: Report on Prog. in Phys. part II (1967).
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di Liberto, F. On the uniqueness of the equilibrium state for antiferromagnetic Ising spin system in the phase transition region. Commun.Math. Phys. 29, 293–310 (1973). https://doi.org/10.1007/BF01646132
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DOI: https://doi.org/10.1007/BF01646132