2026/04/13 by Joseph Chapman, Justas Gidziunas, Bruno Tomasello +2 · 1 citation
Mathematics · Physics and Astronomy · #Bilayer #Critical line #Ising model #Lattice (music) #Lattice model (finance) #Phase transition #Square-lattice Ising model #Statistical Mechanics and Entropy #Statistical mechanics #Stochastic processes and statistical mechanics #Theoretical and Computational Physics
paper · pdf · open access · doi:10.1088/1742-5468/ae8438
published in Journal of Statistical Mechanics Theory and Experiment 2026(7), 073206 (Institute of Physics)
openalex publication_date 2026/07/01 · openalex created_date 2026/07/22 · openalex updated_date 2026/08/05
Abstract There has been much recent interest devoted to a class of frustrated one-dimensional statistical mechanics lattice models which exhibit sharp thermodynamics. In this work, we study an extension of one of these models to two dimensions, the Ising model on a decorated bilayer lattice. We show that the pseudo-transitions of the one-dimensional models become a real first order phase transition in this two-dimensional analogue. Moreover, the pseudo-transition behaviour is found to still exist above a bi-critical point. This can be characterised as a Widom line, which allows a reinterpretation of the physics in the previously studied one-dimensional models.