A Fully Magnetizing Phase Transition
classification
🧮 math-ph
cond-matmath.MPmath.NT
keywords
spintemperatureanalyzebelowchaincriticaldecayingdecreased
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We analyze the Farey spin chain, a one dimensional spin system with effective interaction decaying like the squared inverse distance. 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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