The ordinary surface universality class of the three-dimensional O($N$) model

Abstract

We study the critical behavior at the ordinary surface universality class of the three-dimensional O($N$) model, bounded by a two-dimensional surface. Using high-precision Monte Carlo simulations of an improved lattice model, where the leading bulk scaling correction is suppressed, and finite-size scaling analysis of the fourth cumulant of the surface magnetization, we obtain precise estimates of the scaling dimension of the surface field operator for $N=2,3,4$. We also determine the fixed-point values of two renormalization-group invariant observables, which characterize the finite-size scaling behavior at the ordinary transition.

11 pages, 3 figures; v2: matches published version; v3: corrected truncated conformal bootstrap value of mu_phi for O(4) in the supplemental material, other results unchanged

References in corpus (29)

• The critical exponents of the superfluid transition in He4
• The Casimir effect: from quantum to critical fluctuations
• Bootstrap equations for $\mathcal{N}=4$ SYM with defects
• Unconventional Surface Critical Behaviors Induced by Quantum Phase Transition from Two-Dimensional Affleck-Kennedy-Lieb-Tasaki Phase to Néel Order
• The extraordinary boundary transition in the 3d O(N) model via conformal bootstrap
• On the Hohenberg-Mermin-Wagner theorem and its limitations
• Boundary critical behavior of the three-dimensional Heisenberg universality class
• The thermodynamic Casimir force: A Monte Carlo study of the crossover between the ordinary and the normal surface universality class
• Thermodynamic Casimir effect for films in the 3D Ising universality class: Symmetry breaking boundary conditions
• Conformal Boundary Conditions of Symmetry-Enriched Quantum Critical Spin Chains
• Monte Carlo study of a generalized icosahedral model on the simple cubic lattice
• Boundary Criticality of the 3D O($N$) Model: From Normal to Extraordinary
• Bootstrapping boundary-localized interactions
• Precision check on triviality of phi^4 theory by a new simulation method
• Critical Casimir Effect: Exact Results
• Critical Casimir forces steered by patterned substrates
• Surface critical behaviors of coupled Haldane chains
• Critical Casimir forces and adsorption profiles in the presence of a chemically structured substrate
• Extraordinary-log surface phase transition in the three-dimensional $XY$ model
• Critical behavior in the presence of an order-parameter pinning field
• Three-dimensional $O(N)$-invariant ${\varphi }^4$ models at criticality for $N\ge 4$
• Superconformal Boundaries in $4-\epsilon$ dimensions
• Spin vs. bond correlations along dangling edges of quantum critical magnets
• Special Transition and Extraordinary Phase on the Surface of a Two-Dimensional Quantum Heisenberg Antiferromagnet
• Gapless edge states and their stability in two-dimensional quantum magnets
• Quantum extraordinary-log universality of boundary critical behavior
• Classical-quantum correspondence of special and extraordinary-log criticality: Villain's bridge
• Bulk and Surface Critical Behaviors of quantum Heisenberg antiferromagnet on a two-dimensional coupled diagonal ladders
• Finite-Size Scaling at fixed Renormalization-Group invariant

Cited by in corpus (4)

• Extraordinary-log Universality of Critical Phenomena in Plane Defects
• Topological physics in quantum critical systems
• Universal finite-size scaling in the extraordinary-log boundary phase of three-dimensional $O(N)$ model
• Boundary operator product expansion coefficients of the three-dimensional Ising universality class