Disorder Operator and Rényi Entanglement Entropy of Symmetric Mass Generation

Abstract

In recent years a consensus has gradually been reached that the previously proposed deconfined quantum critical point (DQCP) for spin-1/2 systems, an archetypal example of quantum phase transition beyond the classic Landau's paradigm, actually does not correspond to a true unitary conformal field theory (CFT). In this work we carefully investigate another type of quantum phase transition supposedly beyond the similar classic paradigm, the so called ``symmetric mass generation" (SMG) transition proposed in recent years. We employ the sharp diagnosis including the scaling of disorder operator and Rényi entanglement entropy in large-scale lattice model quantum Monte Carlo simulations. Our results strongly suggest that the SMG transition is indeed an unconventional quantum phase transition and it should correspond to a true $(2+1)d$ unitary CFT.

16 pages, 12 figures

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Cited by in corpus (17)

• Phases of (2+1)D SO(5) non-linear sigma model with a topological term on a sphere: multicritical point and disorder phase
• Extracting subleading corrections in entanglement entropy at quantum phase transitions
• An integral algorithm of exponential observables for interacting fermions in quantum Monte Carlo simulation
• Entanglement Microscopy: Tomography and Entanglement Measures via Quantum Monte Carlo
• Distinguishing Quantum Phases through Cusps in Full Counting Statistics
• Deconfined quantum critical point lost in pressurized SrCu2(BO3)2
• Measuring the Boundary Gapless State and Criticality via Disorder Operator
• Bipartite Fluctuations of Critical Fermi Surfaces
• Corner Charge Fluctuations and Many-Body Quantum Geometry
• Extracting Universal Corner Entanglement Entropy during the Quantum Monte Carlo Simulation
• Resummation-based Quantum Monte Carlo for Entanglement Entropy Computation
• Continuous Transition between Bosonic Fractional Chern Insulator and Superfluid
• Disorder operators in two-dimensional Fermi and non-Fermi liquids through multidimensional bosonization
• Probing Defects with Quantum Simulator Snapshots
• Addressing general measurements in quantum Monte Carlo
• Fermion Mass Generation without Symmetry Breaking
• Universal term of Entanglement Entropy in the $\pi$-flux Hubbard model