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.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
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).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
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
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01646132