Boundary Criticality of the 3D O($N$) Model: From Normal to Extraordinary

Abstract

It was recently realized that the three-dimensional O($N$) model possesses an extraordinary boundary universality class for a finite range of $N\ge 2$. For a given $N$, the existence and universal properties of this class are predicted to be controlled by certain amplitudes of the normal universality class, where one applies an explicit symmetry breaking field to the boundary. In this Letter, we study the normal universality class for $N=2,3$ using Monte Carlo simulations on an improved lattice model and extract these universal amplitudes. Our results are in good agreement with direct Monte Carlo studies of the extraordinary universality class serving as a nontrivial quantitative check of the connection between the normal and extraordinary classes.

16 pages, 2 figures, including Supplemental Material; v2: expanded discussion, 19 pages, 2 figures, including Supplemental Material

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Cited by in corpus (36)

• Quantum criticality under decoherence or weak measurement
• The extraordinary boundary transition in the 3d O(N) model via conformal bootstrap
• Conformal Boundary Conditions of Symmetry-Enriched Quantum Critical Spin Chains
• Symmetry protected topological phases under decoherence
• Notes on a Surface Defect in the $O(N)$ Model
• A plane defect in the 3d O$(N)$ model
• Studying the 3d Ising surface CFTs on the fuzzy sphere
• Surface criticality of antiferromagnetic Potts model
• Solving Conformal Defects in 3D Conformal Field Theory using Fuzzy Sphere Regularization
• Quantum phase transition between topologically distinct quantum critical points
• Extraordinary-log Universality of Critical Phenomena in Plane Defects
• Surface critical properties of the three-dimensional clock model
• Special Transition and Extraordinary Phase on the Surface of a Two-Dimensional Quantum Heisenberg Antiferromagnet
• Analytic bootstrap for magnetic impurities
• Quantum extraordinary-log universality of boundary critical behavior
• Classical-quantum correspondence of special and extraordinary-log criticality: Villain's bridge
• Sublattice extraordinary-log phase and new special point of the antiferromagnetic Potts model
• Bulk and Surface Critical Behaviors of quantum Heisenberg antiferromagnet on a two-dimensional coupled diagonal ladders
• Contrasting pseudo-criticality in the classical two-dimensional Heisenberg and ${\mathrm{RP}}^2$ models: zero-temperature phase transition versus finite-temperature crossover
• The ordinary surface universality class of the three-dimensional O($N$) model
• Topological physics in quantum critical systems
• Extraordinary surface critical behavior induced by symmetry-protected topological state of a two-dimensional quantum magnet
• Universal finite-size scaling in the extraordinary-log boundary phase of three-dimensional $O(N)$ model
• Boundary and defect criticality in topological insulators and superconductors
• Defect conformal field theory from Sachdev-Ye-Kitaev interactions
• Probing Defects with Quantum Simulator Snapshots
• Bound of Casimir Effect by Holography
• Persistent Corner Spin Mode at the Quantum Critical Point of a Plaquette Heisenberg Model
• Boundary phase transitions of two-dimensional quantum critical XXZ model
• Accurate boundary bootstrap for the three-dimensional O($N$) normal universality class
• Deconfined Quantum Critical Point with Non-locality
• The $O(N)$ Free-Scalar and Wilson-Fisher Conformal Field Theories on the Fuzzy Sphere
• Boundary operator product expansion coefficients of the three-dimensional Ising universality class
• Note on surface defects in multiscalar critical models
• Long-Range Order in a Strictly Short-Range Quasi-2D XY Model: When Critical Fluctuations Matter
• Boundary critical behavior of the Gross-Neveu-Yukawa model