Inducing Extraordinary-log Criticality through a Quantum Spin Chain
Abstract
We demonstrate the emergence of extraordinary-log criticality in a quantum many-body system by coupling a spin-1/2 Heisenberg chain to a two-dimensional quantum critical Heisenberg bilayer. Under the quantum-to-classical mapping, the chain acts as a plane defect in a three-dimensional critical environment for which the extraordinary-log universality class has recently been predicted. Using large-scale sign-problem-free quantum Monte Carlo simulations, we directly probe the renormalization-group flow of the effective defect coupling through the spin stiffness. We observe the characteristic logarithmic growth with linear system size L, corresponding to a stable weak-coupling fixed point and a running coupling g(L)∼ 1/log L. Furthermore, the extracted step-scaling function quantitatively follows the universal renormalization-group flow predicted for the extraordinary-log universality class, including the leading and subleading universal coefficients. Our results establish extraordinary-log criticality in a genuine quantum many-body setting and show that its universal behavior persists despite the topological θ-term present in the low-energy field theory of the isolated spin chain.
Related
- Inducing Enantioselectivity in Radiative Charge-Transfer Rates through Chiral Quantum Electrodynamic Fluctuations.
- From quantum reservoirs to quantum extreme learning machines through a nearest-neighbor spin chain with tunable quantum memory
- Extraordinary boundary correlations at deconfined quantum critical points
- Criticality enabled long-range order in a U(1)-symmetric spin-1 Heisenberg chain with biquadratic interactions
- Steering of topological criticality in the Su-Schrieffer-Heeger chain via non-Hermitian substitutional impurities
BibTeX
@misc{makris2026inducing,
title = {{Inducing Extraordinary-log Criticality through a Quantum Spin Chain}},
author = {Grigorios Makris and Francesco Parisen Toldin and Stefan Wessel},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.23221},
eprint = {2610.23221},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.23221},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Inducing Extraordinary-log Criticality through a Quantum Spin Chain
AU - Grigorios Makris
AU - Francesco Parisen Toldin
AU - Stefan Wessel
PY - 2026
DA - 2026/10/16
PB - arXiv
DO - 10.48550/arxiv.2610.23221
UR - https://arxiv.org/abs/2610.23221
AB - We demonstrate the emergence of extraordinary-log criticality in a quantum many-body system by coupling a spin-1/2 Heisenberg chain to a two-dimensional quantum critical Heisenberg bilayer. Under the quantum-to-classical mapping, the chain acts as a plane defect in a three-dimensional critical environment for which the extraordinary-log universality class has recently been predicted. Using large-scale sign-problem-free quantum Monte Carlo simulations, we directly probe the renormalization-group flow of the effective defect coupling through the spin stiffness. We observe the characteristic logarithmic growth with linear system size L, corresponding to a stable weak-coupling fixed point and a running coupling g(L)∼ 1/log L. Furthermore, the extracted step-scaling function quantitatively follows the universal renormalization-group flow predicted for the extraordinary-log universality class, including the leading and subleading universal coefficients. Our results establish extraordinary-log criticality in a genuine quantum many-body setting and show that its universal behavior persists despite the topological θ-term present in the low-energy field theory of the isolated spin chain.
ER -