Department of Mathematics
A Fully Magnetizing Phase Transition
- Author(s): Contucci, Pierluigi
- Kleban, Peter
- Knauf, Andreas
- et al.
Published Web Locationhttps://arxiv.org/pdf/math-ph/9811020.pdf
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.