Critical behavior and out-of-equilibrium dynamics of a two-dimensional Ising model with dynamic couplings

TL;DR

This paper investigates a 2D Ising model with dynamically changing bonds, revealing a continuous phase transition in the Ising universality class and glassy out-of-equilibrium behavior at low temperatures.

Contribution

It introduces a novel 2D Ising model with dynamic couplings governed by a majority rule, exploring its critical behavior and out-of-equilibrium dynamics.

Findings

Model exhibits a continuous phase transition at finite temperature.

Transition belongs to the Ising universality class.

Out-of-equilibrium dynamics show glassy features below critical temperature.

Abstract

We study the critical behavior and the out-of-equilibrium dynamics of a two-dimensional Ising model with non-static interactions. In our model, bonds are dynamically changing according to a majority rule depending on the set of closest neighbors of each spin pair, which prevents the system from ordering in a full ferromagnetic or antiferromagnetic state. Using a parallel-tempering Monte Carlo algorithm, we find that the model undergoes a continuous phase transition at finite temperature, which belongs to the Ising universality class. The properties of the bond structure and the ground-state entropy are also studied. Finally, we analyze the out-of-equilibrium dynamics which displays typical glassy characteristics at a temperature well below the critical one.