Scaling of disorder operator at deconfined quantum criticality

Abstract

We study scaling behavior of the disorder parameter, defined as the expectation value of a symmetry transformation applied to a finite region, at the deconfined quantum critical point in (2+1)$d$ in the $J$-$Q_3$ model via large-scale quantum Monte Carlo simulations. We show that the disorder parameter for U(1) spin rotation symmetry exhibits perimeter scaling with a logarithmic correction associated with sharp corners of the region, as generally expected for a conformally-invariant critical point. However, for large rotation angle the universal coefficient of the logarithmic corner correction becomes negative, which is not allowed in any unitary conformal field theory. We also extract the current central charge from the small rotation angle scaling, whose value is much smaller than that of the free theory.

arXiv comment20 pages, 11 figures; v2 improved measurement on disorder operator; v3 additional analysis on data fitting

References in corpus (50)

• Generalized Global Symmetries
• Quantum criticality beyond the Landau-Ginzburg-Wilson paradigm
• Quantum Monte Carlo with Directed Loops
• The Conformal Bootstrap: Theory, Numerical Techniques, and Applications
• Evidence for deconfined quantum criticality in a two-dimensional Heisenberg model with four-spin interactions
• Deconfined quantum critical points: symmetries and dualities
• Entanglement entropy of 2D conformal quantum critical points: hearing the shape of a quantum drum
• A symmetry principle for Topological Quantum Order
• Quantum criticality with two length scales
• Walking, Weak first-order transitions, and Complex CFTs
• Categorical symmetry and non-invertible anomaly in symmetry-breaking and topological phase transitions
• Antiferromagnetic to valence-bond-soild transitions in two-dimensional SU(N) Heisenberg models with multi-spin interactions
• Continuous quantum phase transition between an antiferromagnet and a valence-bond-solid in two dimensions; evidence for logarithmic corrections to scaling
• Emergent $SO(5)$ Symmetry at the Néel to Valence-Bond-Solid Transition
• Symmetry and Topological Order
• Choreographed entangle dances: topological states of quantum matter
• Deconfined Quantum Criticality, Scaling Violations, and Classical Loop Models
• High-precision finite-size scaling analysis of the quantum-critical point of S=1/2 Heisenberg antiferromagnetic bilayers
• Carving out OPE space and precise $O(2)$ model critical exponents
• Algebraic higher symmetry and categorical symmetry -- a holographic and entanglement view of symmetry
• Walking, Weak first-order transitions, and Complex CFTs II. Two-dimensional Potts model at $Q>4$
• A quantum magnetic analogue to the critical point of water
• Conformal Bootstrap Dashing Hopes of Emergent Symmetry
• Quantum phases of SrCu2(BO3)2 from high-pressure thermodynamics
• The dynamics of quantum criticality via Quantum Monte Carlo and holography
• Dynamical Signature of Fractionalization at the Deconfined Quantum Critical Point
• Conformal field theories at non-zero temperature: operator product expansions, Monte Carlo, and holography
• Quantum Criticality and Spin Liquid Phase in the Shastry-Sutherland model
• A theory of deconfined pseudo-criticality
• Scaling of entanglement entropy at deconfined quantum criticality
• Superconductivity from the Condensation of Topological Defects in a Quantum Spin-Hall Insulator
• Note on Wess-Zumino-Witten models and quasiuniversality in 2+1 dimensions
• Corner contribution to the entanglement entropy of an O(3) quantum critical point in 2+1 dimensions
• Universal Conductivity in a Two-Dimensional Superfluid-to-Insulator Quantum Critical System
• Phases of the (2+1) dimensional SO(5) non-linear sigma model with topological term
• Universal corner entanglement from twist operators
• Symmetry enhanced first-order phase transition in a two-dimensional quantum magnet
• Dynamical structure factors and excitation modes of the bilayer Heisenberg model
• Stiefel Liquids: Possible Non-Lagrangian Quantum Criticality from Intertwined Orders
• Multicritical deconfined quantum-criticality and Lifshitz point of a helical valence-bond phase
• Emmy Noether looks at the deconfined quantum critical point
• Universal Features of Higher-Form Symmetries at Phase Transitions
• Anomalous quantum-critical scaling corrections in two-dimensional antiferromagnets
• Higher-form symmetry breaking at Ising transitions
• Scaling of disorder operator at $(2+1)d$ U(1) quantum criticality
• Cornering the universal shape of fluctuations
• Categorical Symmetries at Criticality
• Positivity, entanglement entropy, and minimal surfaces
• Dirac fermions with plaquette interactions. I. SU(2) phase diagram with Gross-Neveu and deconfined quantum criticalities
• Emergent O(4) symmetry at the phase transition from plaquette-singlet to antiferromagnetic order in quasi-two-dimensional quantum magnets

Cited by in corpus (35)

• Quantum criticality under decoherence or weak measurement
• Measuring Rényi entanglement entropy with high efficiency and precision in quantum Monte Carlo simulations
• Fermion disorder operator at Gross-Neveu and deconfined quantum criticalities
• Scaling of disorder operator at $(2+1)d$ U(1) quantum criticality
• Topological Disorder Parameter
• Phases of (2+1)D SO(5) non-linear sigma model with a topological term on a sphere: multicritical point and disorder phase
• Unlocking the general relationship between energy and entanglement spectra via the wormhole effect
• Edge physics at the deconfined transition between a quantum spin Hall insulator and a superconductor
• Building models of topological quantum criticality from pivot Hamiltonians
• Stable computation of entanglement entropy for 2D interacting fermion systems
• Disorder Operator and Rényi Entanglement Entropy of Symmetric Mass Generation
• Extracting subleading corrections in entanglement entropy at quantum phase transitions
• Diagnosing $SO(5)$ Symmetry and First-Order Transition in the $J-Q_3$ Model via Entanglement Entropy
• Dynamical properties of quantum many-body systems with long range interactions
• Gapless symmetry-protected topological phases and generalized deconfined critical points from gauging a finite subgroup
• Fully packed quantum loop model on the square lattice: phase diagram and application for Rydberg atoms
• Universal entanglement and correlation measure in two-dimensional conformal field theories
• Classical model emerges in quantum entanglement: Quantum Monte Carlo study for an Ising-Heisenberg bilayer
• Demonstrating the wormhole mechanism of the entanglement spectrum via a perturbed boundary
• Emergent self-duality in long range critical spin chain: from deconfined criticality to first order transition
• Bootstrapping Lieb-Schultz-Mattis anomalies
• Distinguishing Quantum Phases through Cusps in Full Counting Statistics
• Relevant long-range interaction of the entanglement Hamiltonian emerges from a short-range gapped system
• Deconfined quantum critical point lost in pressurized SrCu2(BO3)2
• Deconfined quantum phase transition on the kagome lattice: Distinct velocities of spinon and string excitations
• Measuring the Boundary Gapless State and Criticality via Disorder Operator
• Bipartite Fluctuations of Critical Fermi Surfaces
• Topological physics in quantum critical systems
• Resummation-based Quantum Monte Carlo for Entanglement Entropy Computation
• Extracting Universal Corner Entanglement Entropy during the Quantum Monte Carlo Simulation
• Deconfined criticality as intrinsically gapless topological state in one dimension
• Disorder operators in two-dimensional Fermi and non-Fermi liquids through multidimensional bosonization
• Addressing general measurements in quantum Monte Carlo
• Worldline deconfinement and emergent long-range interaction in the entanglement Hamiltonian and in the entanglement spectrum
• Exploring the limit of the Lattice-Bisognano-Wichmann form describing the Entanglement Hamiltonian: A quantum Monte Carlo study