Boundary Criticality in (2+1)-dimensional U(1) Dirac Quantum Spin Liquid
Abstract
An emergent gauge field can control boundary critical behavior without changing the bulk quantum spin liquid. We investigate the boundary criticality in (2+1)-dimensional U(1) Dirac spin liquid, whose low-energy physics is described by massless quantum electrodynamics. Using a perturbative renormalization-group analysis in a half-space, we show that Neumann and Dirichlet boundary conditions for the emergent gauge field lead to distinct boundary universality classes. We determine the boundary scaling dimensions of the fundamental fields and gauge-invariant operators that provide observable signatures. We further propose a fermion-gauge lattice model with tunable boundary interactions as a microscopic setting for realizing and probing these boundary universality classes.
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BibTeX
@misc{jiang2026boundary,
title = {{Boundary Criticality in (2+1)-dimensional U(1) Dirac Quantum Spin Liquid}},
author = {Huan Jiang and Zhiming Pan and Xue-Jia Yu and Shao-Kai Jian},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.38088},
eprint = {2609.38088},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.38088},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Boundary Criticality in (2+1)-dimensional U(1) Dirac Quantum Spin Liquid
AU - Huan Jiang
AU - Zhiming Pan
AU - Xue-Jia Yu
AU - Shao-Kai Jian
PY - 2026
DA - 2026/09/29
PB - arXiv
DO - 10.48550/arxiv.2609.38088
UR - https://arxiv.org/abs/2609.38088
AB - An emergent gauge field can control boundary critical behavior without changing the bulk quantum spin liquid. We investigate the boundary criticality in (2+1)-dimensional U(1) Dirac spin liquid, whose low-energy physics is described by massless quantum electrodynamics. Using a perturbative renormalization-group analysis in a half-space, we show that Neumann and Dirichlet boundary conditions for the emergent gauge field lead to distinct boundary universality classes. We determine the boundary scaling dimensions of the fundamental fields and gauge-invariant operators that provide observable signatures. We further propose a fermion-gauge lattice model with tunable boundary interactions as a microscopic setting for realizing and probing these boundary universality classes.
ER -