The one-dimensional Ising model has no spontaneous magnetization at finite temperatures, proven by showing its Landau free energy increases with magnetization magnitude and has positive second derivative at zero.
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Landau free energy and the absence of spontaneous magnetization of the one-dimensional Ising model
The one-dimensional Ising model has no spontaneous magnetization at finite temperatures, proven by showing its Landau free energy increases with magnetization magnitude and has positive second derivative at zero.