The Widom line in the Ising model on a decorated bilayer lattice

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 is found to still exist above a bi-critical point. This can be characterised as a Widom line, which allows a re-interpretation of the physics in the previously studied one-dimensional models.

arXiv comment25 pages, 9 figures - Version 2 clarifies some details in the manuscript, some figures updated

References in corpus (25)

• Relation Between the Widom line and the Strong-Fragile Dynamic Crossover in Systems with a Liquid-Liquid Phase Transition
• General non-existence theorem for phase transitions in one-dimensional systems with short range interactions, and physical examples of such transitions
• Pseudogap temperature as a Widom line in doped Mott insulators
• Critical properties of the double-frequency sine-Gordon model with applications
• Spin frustration of a spin-1/2 Ising-Heisenberg three-leg tube as an indispensable ground for thermal entanglement
• Quasi-phases and pseudo-transitions in one-dimensional models with nearest neighbor interactions
• The influence of interplanar coupling on the entropy and specific heat of the bilayer ferromagnet
• Universality and quasicritical exponents of one-dimensional models displaying a quasitransition at finite temperatures
• Monte Carlo simulations of an Ising bilayer with non-equivalent planes
• Critical exponents of the two-layer Ising model
• Correlation functions for a spin-$\frac{1}{2}$ Ising-XYZ diamond chain: Further evidence for quasi-phases and pseudo-transitions
• Peculiarities in pseudo-transitions of a mixed spin-$(1/2,1)$ Ising-Heisenberg double-tetrahedral chain in an external magnetic field
• Towards low-temperature peculiarities of thermodynamic quantities for decorated spin chains
• Critical Temperature Studies of the Anisotropic Bi- and Multilayer Heisenberg Ferromagnets in Pair Approximation
• Low-temperature thermodynamics of the two-leg ladder Ising model with trimer rungs: A mystery explained
• Quantum entanglement in the neighborhood of pseudo-transition for a spin-1/2 Ising-XYZ diamond chain
• Introducing the concept of the Widom line in the QCD phase diagram
• Transition temperature scaling in weakly coupled two-dimensional Ising models
• Ising spin ladder with trimer rungs and next-nearest-neighbor coupling. Frustration in physics and agent models
• Quantum Otto engine mimicking Carnot near pseudotransitions in the one-dimensional extended Hubbard model in the atomic limit
• Bifurcation in correlation length of the Ising model on a "Toblerone" lattice
• Dual thermal pseudocritical features in a spin-1/2 Ising chain with twin-diamond geometry
• Thermodynamic constraints and pseudotransition behavior in a one-dimensional water-like system
• Many-body critical phase in a quasiperiodic chain and dynamical Widom lines in Fock space properties
• Moiré magnetism in a bilayer Ising model