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On the Ising Model with Strongly Anisotropic External Field

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Abstract

In this paper we analyze the equilibrium phase diagram of the two-dimensional ferromagnetic n.n. Ising model when the external field takes alternating signs on different rows. We show that some of the zero-temperature coexistence lines disappear at every positive sufficiently small temperature, whereas one (and only one) of them persists for sufficiently low temperature.

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Nardi, F.R., Olivieri, E. & Zahradník, M. On the Ising Model with Strongly Anisotropic External Field. Journal of Statistical Physics 97, 87–144 (1999). https://doi.org/10.1023/A:1004662917583

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