Abstract
We analyze the Farey spin chain, a one-dimensional spin system with long-range multibody interactions. Using a polymer model technique, we show that when the temperature is decreased below the (single) critical temperature T c=1/2, the magnetization jumps from zero to one.
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Contucci, P., Kleban, P. & Knauf, A. A Fully Magnetizing Phase Transition. Journal of Statistical Physics 97, 523–539 (1999). https://doi.org/10.1023/A:1004607107241
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DOI: https://doi.org/10.1023/A:1004607107241