SciPost Physics

SciPost Phys. 13, 123 (2022) · published 14 December 2022

• doi: 10.21468/SciPostPhys.13.6.123
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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.

• Liu et al., Fermion Disorder Operator at Gross-Neveu and Deconfined Quantum Criticalities
  Phys. Rev. Lett. 130, 266501 (2023) [Crossref]
• Zhao et al., Measuring Rényi entanglement entropy with high efficiency and precision in quantum Monte Carlo simulations
  npj Quantum Mater. 7, 69 (2022) [Crossref]
• Liu et al., Demonstrating the wormhole mechanism of the entanglement spectrum via a perturbed boundary
  Phys. Rev. B 109, 094416 (2024) [Crossref]
• Liu et al., Deconfined quantum phase transition on the kagome lattice: Distinct velocities of spinon and string excitations
  Phys. Rev. B 109, L140404 (2024) [Crossref]
• Li et al., Relevant long-range interaction of the entanglement Hamiltonian emerges from a short-range gapped system
  Phys. Rev. B 109, 195169 (2024) [Crossref]
• Lee et al., Quantum Criticality Under Decoherence or Weak Measurement
  PRX Quantum 4, 030317 (2023) [Crossref]
• Zhou et al., Full counting statistics across the entanglement phase transition of non-Hermitian Hamiltonians with charge conservation
  Phys. Rev. B 108, 094308 (2023) [Crossref]
• Wang et al., Distinguishing Quantum Phases through Cusps in Full Counting Statistics
  Phys. Rev. Lett. 133, 083402 (2024) [Crossref]
• Song et al., Quantum criticality and entanglement for the two-dimensional long-range Heisenberg bilayer
  Phys. Rev. B 109, L081114 (2024) [Crossref]
• Chen et al., Phases of (2+1)D SO(5) Nonlinear Sigma Model with a Topological Term on a Sphere: Multicritical Point and Disorder Phase
  Phys. Rev. Lett. 132, 246503 (2024) [Crossref]
• Song et al., Extracting subleading corrections in entanglement entropy at quantum phase transitions
  SciPost Phys. 17, 010 (2024) [Crossref]
• Song et al., Resummation-based quantum Monte Carlo for entanglement entropy computation
  Phys. Rev. B 110, 115117 (2024) [Crossref]
• Tantivasadakarn et al., Building models of topological quantum criticality from pivot Hamiltonians
  SciPost Phys. 14, 013 (2023) [Crossref]
• Yin et al., Universal Entanglement and Correlation Measure in Two-Dimensional Conformal Field Theories
  Phys. Rev. Lett. 130, 131601 (2023) [Crossref]
• Ran et al., Fully packed quantum loop model on the square lattice: Phase diagram and application for Rydberg atoms
  Phys. Rev. B 107, 125134 (2023) [Crossref]
• Da Liao et al., Extracting universal corner entanglement entropy during the quantum Monte Carlo simulation
  Phys. Rev. B 110, 235111 (2024) [Crossref]
• Liu et al., Disorder Operator and Rényi Entanglement Entropy of Symmetric Mass Generation
  Phys. Rev. Lett. 132, 156503 (2024) [Crossref]
• Yan et al., Unlocking the general relationship between energy and entanglement spectra via the wormhole effect
  Nat Commun 14, 2360 (2023) [Crossref]
• Lanzetta et al., Bootstrapping Lieb-Schultz-Mattis anomalies
  Phys. Rev. B 107, 205137 (2023) [Crossref]
• Wu et al., Classical model emerges in quantum entanglement: Quantum Monte Carlo study for an Ising-Heisenberg bilayer
  Phys. Rev. B 107, 155121 (2023) [Crossref]
• Pan et al., Stable computation of entanglement entropy for two-dimensional interacting fermion systems
  Phys. Rev. B 108, L081123 (2023) [Crossref]
• Liu et al., Measuring the Boundary Gapless State and Criticality via Disorder Operator
  Phys. Rev. Lett. 132, 206502 (2024) [Crossref]
• Yang et al., Emergent self-duality in a long-range critical spin chain: From deconfined criticality to first-order transition
  Phys. Rev. B 108, 245152 (2023) [Crossref]
• Su et al., Gapless symmetry-protected topological phases and generalized deconfined critical points from gauging a finite subgroup
  Phys. Rev. B 109, 245108 (2024) [Crossref]
• Deng et al., Diagnosing Quantum Phase Transition Order and Deconfined Criticality via Entanglement Entropy
  Phys. Rev. Lett. 133, 100402 (2024) [Crossref]
• Song et al., Dynamical properties of quantum many-body systems with long-range interactions
  Phys. Rev. Research 5, 033046 (2023) [Crossref]
• Jiang et al., Many versus one: The disorder operator and entanglement entropy in fermionic quantum matter
  SciPost Phys. 15, 082 (2023) [Crossref]