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Preprint Aug 2026

Phase Diagram and Critical Behaviour of the Two-Dimensional Potts Model with Long-Range Quenched Disorder

We study the phase diagram and critical properties of the $q = 3$ and $q = 8$ Potts models with spatially correlated disorder governed by a power-law decay with exponent $a$. Building on the phase diagram proposed by Chippari et al. [3], where a transition from finite-disorder to infinite-disorder fixed points was iden...

R. Rocha, L. Cugliandolo, M. Picco · 0 citations
Preprint Sep 2026

Numerical Investigations of Phase Transitions in Lattice Field Theories

The study of phase transitions plays an important role in understanding qualitative changes in the behaviour of physical systems at criticality. Despite decades of progress, there is still a strong demand for high-precision numerical tools capable of resolving subtle critical phenomena. Motivated by this need, in this...

Vamika Longia · 0 citations
Preprint Sep 2026

An on-lattice model for two-dimensional melting

We introduce an on-lattice minimal model of two-dimensional melting, a clock model with vacancies with control parameters temperature, chemical potential and external field. We study the full phase diagram using cluster Monte Carlo, Tensor Network Renormalisation Group and selfconsistent mean field methods. A non-unive...

Antonin Rogé, Peter C. W. Holdsworth, A. Poncet · 0 citations
Open access Aug 2026

Dynamical critical properties of the random-bond three-state Potts model

We study the dynamic critical behavior of the two-dimensional random-bond three-state Potts model using large-scale Monte Carlo simulations with the Wolff and Swendsen--Wang cluster algorithms. At the disorder-dependent critical temperature, we compute integrated and exponential autocorrelation times and extract the dy...

Z. Vatansever, U. Kanbur, Mohammed Sadra Najafi et al. · 1 citation
Preprint Aug 2026

Critical Properties and Glass Transitions in Randomly Coupled Fields

We study an assembly of $N$ scalar fields coupled via a quenched random interaction, equivalent to a spin glass whose spins are promoted to $d$-dimensional fields. When $N$ is large, the random coupling matrix produces a family of Gaussian universality classes whose critical exponents are determined by the behavior of...

Amer Al-Hiyasat · 0 citations
Preprint Sep 2026

Finite-temperature phase transitions across spin symmetries in two-dimensional magnets

Recent advances in intrinsic two-dimensional (2D) magnets have created a need for a unified understanding of finite-temperature phase transitions across different spin-symmetry classes. Here, we investigate finite-temperature magnetism in the classical 2D Heisenberg model using large-scale Monte Carlo simulations, cont...

Chen Chen, M. Goerzen, M. Arya et al. · 0 citations

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