The Ising model on a decorated bilayer lattice turns one-dimensional pseudo-transitions into a real first-order phase transition, with the pseudo-transition surviving as a Widom line above the bi-critical point.
General non-existence theorem for phase transitions in one- dimensional systems with short range interactions, and physical examples of such transitions
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The Widom line in the Ising model on a decorated bilayer lattice
The Ising model on a decorated bilayer lattice turns one-dimensional pseudo-transitions into a real first-order phase transition, with the pseudo-transition surviving as a Widom line above the bi-critical point.