Parafermionic and decoupled multicritical points in a frustrated $\mathbb{Z}_6$ clock chain
Strongly Correlated Electrons
2026-05-06 v1 Statistical Mechanics
High Energy Physics - Theory
Abstract
We introduce a generalised six-state clock chain that interpolates between the clock and Potts models via a multicritical point described by decoupled Ising and three-state Potts models. We find that this decoupling extends into stable phases that break only or symmetry. We also use boundary CFT analysis and level spectroscopy to conclusively identify a parafermion multicritical point terminating the clock model Luttinger-liquid phase. Our work shows that parafermions emerge far from integrability, even in systems with intertwined Ising and three-state Potts orders.
Keywords
Cite
@article{arxiv.2605.03001,
title = {Parafermionic and decoupled multicritical points in a frustrated $\mathbb{Z}_6$ clock chain},
author = {Andrea Kouta Dagnino and Attila Szabó},
journal= {arXiv preprint arXiv:2605.03001},
year = {2026}
}