Universal classification of continuous phase transitions with two order parameters

Fuente: arXiv
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Autores principales: Xu, Yilun, Sun, Feng-xiao
Formato: Preprint
Publicado: 2026
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author Xu, Yilun
Sun, Feng-xiao
author_facet Xu, Yilun
Sun, Feng-xiao
contents The continuous phase transition, indicated by the macroscopic order parameter and the occurrence of the spontaneous symmetry breaking, is well illustrated based on the Ginzburg-Landau's paradigm. In systems described by one order parameter, the phase diagram is only composed of the normal phase and the ordered phase. However, in systems with two or more order parameters, much richer phase diagrams and critical phenomena may emerge. According to coupling terms of the free energy, we classify the systems with two order parameters into several categories, featuring different patterns of phase diagrams and critical scalings respectively. Our work propose the new avenue to studying and evaluating the complex systems only based on the coupling terms in expressions of free energy.
format Preprint
id arxiv_https___arxiv_org_abs_2605_24061
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Universal classification of continuous phase transitions with two order parameters
Xu, Yilun
Sun, Feng-xiao
Statistical Mechanics
Quantum Physics
The continuous phase transition, indicated by the macroscopic order parameter and the occurrence of the spontaneous symmetry breaking, is well illustrated based on the Ginzburg-Landau's paradigm. In systems described by one order parameter, the phase diagram is only composed of the normal phase and the ordered phase. However, in systems with two or more order parameters, much richer phase diagrams and critical phenomena may emerge. According to coupling terms of the free energy, we classify the systems with two order parameters into several categories, featuring different patterns of phase diagrams and critical scalings respectively. Our work propose the new avenue to studying and evaluating the complex systems only based on the coupling terms in expressions of free energy.
title Universal classification of continuous phase transitions with two order parameters
topic Statistical Mechanics
Quantum Physics
url https://arxiv.org/abs/2605.24061