Extraordinary-log Universality of Critical Phenomena in Plane Defects

Abstract

The recent discovery of the extraordinary-log (E-Log) criticality is a celebrated achievement in modern critical theory and calls for generalization. Using large-scale Monte Carlo simulations, we study the critical phenomena of plane defects in three- and four-dimensional O($n$) critical systems. In three dimensions, we provide the first numerical proof for the E-Log criticality of plane defects. In particular, for $n=2$, the critical exponent $\hat{q}$ of two-point correlation and the renormalization-group parameter $\alpha$ of helicity modulus conform to the scaling relation $\hat{q}=(n-1)/(2\pi \alpha )$, whereas the results for $n\ge 3$ violate this scaling relation. In four dimensions, it is strikingly found that the E-Log criticality also emerges in the plane defect. These findings have numerous potential realizations and would boost the ongoing advancement of conformal field theory.

arXiv comment24 pages, 11 figures, including supplemental material. v2: expanded version. To appear in Physical Review Letters

References in corpus (29)

• Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
• Critical Exponents of the N-vector model
• Worm algorithms for classical statistical models
• Extended Bose-Hubbard Models with Ultracold Magnetic Atoms
• The superconductor-insulator transition in 2D dirty boson systems
• Quantum and classical criticality in a dimerized quantum antiferromagnet
• Cooling and entangling ultracold atoms in optical lattices
• Monte Carlo study of an improved clock model in three dimensions
• The dynamics of quantum criticality via Quantum Monte Carlo and holography
• Surface and bulk transitions in three-dimensional O(n) models
• Cluster Monte Carlo Algorithm for the Quantum Rotor Model
• The extraordinary boundary transition in the 3d O(N) model via conformal bootstrap
• Universal Conductivity in a Two-Dimensional Superfluid-to-Insulator Quantum Critical System
• Boundary critical behavior of the three-dimensional Heisenberg universality class
• 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
• High-precision Monte Carlo study of several models in the three-dimensional U(1) universality class
• Loop models with crossings
• Universal Scaling of the Conductivity at the Superfluid-Insulator Phase Transition
• Extraordinary-log surface phase transition in the three-dimensional $XY$ model
• Surface criticality of antiferromagnetic Potts model
• Superconducting transition temperature of the Bose one-component plasma
• Finite-size Scaling of O($n$) Systems at the Upper Critical Dimensionality
• Surface critical properties of the three-dimensional clock model
• 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
• The ordinary surface universality class of the three-dimensional O($N$) model
• Completely packed O($n$) loop models and their relation with exactly solved coloring models

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• Quantum phase transition between topologically distinct quantum critical points
• 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
• Boundary phase transitions of two-dimensional quantum critical XXZ model
• Accurate boundary bootstrap for the three-dimensional O($N$) normal universality class
• Boundary operator product expansion coefficients of the three-dimensional Ising universality class
• Post-measurement Quantum Monte Carlo
• Long-Range Order in a Strictly Short-Range Quasi-2D XY Model: When Critical Fluctuations Matter