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MiS Preprint
61/1998
A fully magnetizing phase transition
Pierluigi Contucci, Peter Klebau and Andreas Knauf
Abstract
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 Tc= 1/2 , the magnetization jumps from zero to one.