具有长程淬火无序的二维Potts模型的相图与临界行为
Phase Diagram and Critical Behaviour of the Two-Dimensional Potts Model with Long-Range Quenched Disorder
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中文总结 AI 辅助
本文研究受幂律衰减无序调控的二维q=3、q=8 Potts模型，利用Fortuin-Kasteleyn团缠绕概率细化其相图，阐明磁化率双峰起源并确立超标度关系有效性。
中文摘要 AI 辅助
我们研究受幂律衰减（指数为a）调控的空间关联无序下q=3和q=8的Potts模型的相图与临界性质。基于Chippari等人提出的相图（其中随a变化存在有限无序不动点到无限无序不动点的转变），我们利用Fortuin-Kasteleyn团的缠绕概率细化该图像；此外，通过磁可观测量，我们阐明了磁化率双峰结构的物理起源，并确立了所研究所有区域中超标度关系的有效性。
英文摘要
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.
发表机构
- Sorbonne Université & CNRS, UMR 7589, LPTHE（索邦大学与法国国家科学研究中心，联合研究单位7589，理论物理实验室）
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