PreprintCC BY 4.0arXiv
Phase Diagram and Critical Behaviour of the Two-Dimensional Potts Model with Long-Range Quenched Disorder
Abstract
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 identified as a function of a, we refine this picture by using wrapping probabilities of Fortuin-Kasteleyn clusters. Furthermore, using magnetic observables, we clarify the physical origin of the double-peak structure in the magnetic susceptibility and establish the validity of the hyper-scaling relation across all investigated regimes.
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BibTeX
@misc{rocha2026phase,
title = {{Phase Diagram and Critical Behaviour of the Two-Dimensional Potts Model with Long-Range Quenched Disorder}},
author = {Rodolfo Rocha and Leticia F. Cugliandolo and Marco Picco},
howpublished = {arXiv},
year = {2026},
month = aug,
doi = {10.48550/arxiv.2608.29710},
eprint = {2608.29710},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2608.29710},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Phase Diagram and Critical Behaviour of the Two-Dimensional Potts Model with Long-Range Quenched Disorder
AU - Rodolfo Rocha
AU - Leticia F. Cugliandolo
AU - Marco Picco
PY - 2026
DA - 2026/08/30
PB - arXiv
DO - 10.48550/arxiv.2608.29710
UR - https://arxiv.org/abs/2608.29710
AB - 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 identified as a function of a, we refine this picture by using wrapping probabilities of Fortuin-Kasteleyn clusters. Furthermore, using magnetic observables, we clarify the physical origin of the double-peak structure in the magnetic susceptibility and establish the validity of the hyper-scaling relation across all investigated regimes.
ER -