Simplest model to study reentrance in physical systems

Abstract

We numerically investigate the necessary ingredients for reentrant behavior in the phase diagram of physical systems. Studies on the possibly simplest model that exhibits reentrance, the two-dimensional random bond Ising model, show that reentrant behavior is generic whenever frustration is present in the model. For both discrete and continuous disorder distributions, the phase diagram in the disorder-temperature plane is found to be reentrant, where for some disorder strengths a paramagnetic phase exists at both high and low temperatures, but an ordered ferromagnetic phase exists for intermediate temperatures.

4 pages, 5 figures

References in corpus (10)

• Error Threshold for Color Codes and Random 3-Body Ising Models
• Denaturation transition of stretched DNA
• Stable Solution of the Simplest Spin Model for Inverse Freezing
• Strong disorder fixed points in the two-dimensional random-bond Ising model
• Strong-disorder paramagnetic-ferromagnetic fixed point in the square-lattice +- J Ising model
• Matching Kasteleyn Cities for Spin Glass Ground States
• On locations and properties of the multicritical point of Gaussian and +/-J Ising spin glasses
• Exact Algorithm for Sampling the 2D Ising Spin Glass
• Scaling behavior of domain walls at the T=0 ferromagnet to spin-glass transition
• Universality in phase boundary slopes for spin glasses on self dual lattices

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• Entanglement Entropy of the Two-Dimensional +-J Ising Model on the Nishimori Line
• Inverse transitions and disappearance of the λ-line in the asymmetric random field Ising and Blume-Capel models
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