Criticality on Rényi Defects at (2+1)D O(3) Quantum Critical Points
Abstract
At a quantum critical point, the universal scaling behavior of Rényi entanglement entropy is controlled by the universality class of the codimension-two Rényi (or conical) defects in the infrared theory. In this work we perform a systematic study of critical correlations along Rényi defect lines in (2+1)D quantum spin models realizing quantum phase transitions described by the O(3) Wilson-Fisher universality class, using large-scale quantum Monte Carlo simulations. We present numerical evidence that, for a fixed Rényi index n, there exist multiple Rényi defect universality classes, with distinct critical exponents for the O(3) order parameter on the defect. These universality classes are realized by choosing microscopically different entanglement cuts in lattice models, which we classify as ordinary, special and extraordinary according to their relation to surface criticality. For the extraordinary entanglement cut, we further find evidence for a phase transition on the defect as a function of the Rényi index. Our results highlight the key role of defect universality classes in determining the universal scaling of Rényi entropy, and provide a framework for understanding the previously observed dependence of Rényi entropy scaling on microscopic lattice details.
Versions
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BibTeX
@misc{zhu2026criticality,
title = {{Criticality on Rényi Defects at (2+1)$D$ O(3) Quantum Critical Points}},
author = {Yanzhang Zhu and Zhe Wang and Meng Cheng and Zheng Yan},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2605.00104},
eprint = {2605.00104},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2605.00104},
}
RIS
TY - UNPB
TI - Criticality on Rényi Defects at (2+1)D O(3) Quantum Critical Points
AU - Yanzhang Zhu
AU - Zhe Wang
AU - Meng Cheng
AU - Zheng Yan
PY - 2026
DA - 2026/10/08
PB - arXiv
DO - 10.48550/arxiv.2605.00104
UR - https://arxiv.org/abs/2605.00104
AB - At a quantum critical point, the universal scaling behavior of Rényi entanglement entropy is controlled by the universality class of the codimension-two Rényi (or conical) defects in the infrared theory. In this work we perform a systematic study of critical correlations along Rényi defect lines in (2+1)D quantum spin models realizing quantum phase transitions described by the O(3) Wilson-Fisher universality class, using large-scale quantum Monte Carlo simulations. We present numerical evidence that, for a fixed Rényi index n, there exist multiple Rényi defect universality classes, with distinct critical exponents for the O(3) order parameter on the defect. These universality classes are realized by choosing microscopically different entanglement cuts in lattice models, which we classify as ordinary, special and extraordinary according to their relation to surface criticality. For the extraordinary entanglement cut, we further find evidence for a phase transition on the defect as a function of the Rényi index. Our results highlight the key role of defect universality classes in determining the universal scaling of Rényi entropy, and provide a framework for understanding the previously observed dependence of Rényi entropy scaling on microscopic lattice details.
ER -