Abstract
We investigate the phase diagram of ferromagnetic Ising spin systems satisfying the G.H.S. inequality. We show that they cannot have a “normal” first-order phase transition as the temperatureT is varied, i.e., one where the magnetization is discontinuous and there are three coexisting phases. Furthermore, for n.n. interactions, discontinuity in the magnetization at 0 <T 0 ⩽T c implies an uncountable infinity of pure phases atT 0.
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Bricmont, J., Lebowitz, J.L. On the continuity of the magnetization and energy in Ising ferromagnets. J Stat Phys 42, 861–869 (1986). https://doi.org/10.1007/BF01010449
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DOI: https://doi.org/10.1007/BF01010449