Disorder operators in two-dimensional Fermi and non-Fermi liquids through multidimensional bosonization

Abstract

Disorder operators are a type of non-local observables for quantum many-body systems, measuring the fluctuations of symmetry charges inside a region. It has been shown that disorder operators can reveal global aspects of many-body states that are otherwise difficult to access through local measurements. We study the disorder operator for U(1) (charge or spin) symmetry in two-dimensional Fermi and non-Fermi liquid states, using the multidimensional bosonization formalism. For a region $A$, the logarithm of the charge disorder parameter in a Fermi liquid with isotropic interactions scales asymptotically as $l_A\ln l_A$, with $l_A$ being the linear size of the region $A$. We calculate the proportionality coefficient in terms of Landau parameters of the Fermi liquid theory. We then study models of the Fermi surface coupled to gapless bosonic fields realizing non-Fermi liquid states. In a simple spinless model, where the fermion density is coupled to a critical scalar, we find that at the quantum critical point the scaling behavior of the charge disorder operators is drastically modified to $l_A{\ln }^2{l}_A$. We also consider the composite Fermi liquid state and argue that the charge disorder operator scales as $l_A$.

17 pages, 6 figures, published version

References in corpus (30)

• Entanglement entropy of fermions in any dimension and the Widom conjecture
• Violation of the entropic area law for Fermions
• Bipartite Fluctuations as a Probe of Many-Body Entanglement
• Electron shot noise beyond the second moment
• Lowest-Landau-level theory of the quantum Hall effect: the Fermi-liquid-like state
• General Relation between Entanglement and Fluctuations in One Dimension
• Entanglement entropy of critical spin liquids
• Full Current Statistics in Diffusive Normal-Superconductor Structures
• Particle Number Fluctuations, Rényi and Symmetry-resolved Entanglement Entropy in Two-dimensional Fermi Gas from Multi-dimensional Bosonization
• Universal crossovers between entanglement entropy and thermal entropy
• Multidimensional Bosonization
• Nonlinear Bosonization of Fermi Surfaces: The Method of Coadjoint Orbits
• Non-Fermi-liquid at (2+1)d ferromagnetic quantum critical point
• Entanglement Entropy of Fermi Liquids via Multi-dimensional Bosonization
• Scaling of disorder operator at deconfined quantum criticality
• Universal Features of Higher-Form Symmetries at Phase Transitions
• Entanglement entropy of the $\nu =1/2$ composite fermion non-Fermi liquid state
• Higher-form symmetry breaking at Ising transitions
• Fermion disorder operator at Gross-Neveu and deconfined quantum criticalities
• Renyi entropy, mutual information, and fluctuation properties of Fermi liquids
• Scaling of disorder operator at $(2+1)d$ U(1) quantum criticality
• Topological Disorder Parameter
• Identification of non-Fermi liquid fermionic self-energy from quantum Monte Carlo data
• Categorical Symmetries at Criticality
• Disorder Operator and Rényi Entanglement Entropy of Symmetric Mass Generation
• Entanglement entropy of composite Fermi liquid states on the lattice: In support of the Widom formula
• Detecting Quantum Anomalies in Open Systems
• Distinguishing Quantum Phases through Cusps in Full Counting Statistics
• Bipartite Fluctuations of Critical Fermi Surfaces
• Universal contributions to charge fluctuations in spin chains at finite temperature

Cited by in corpus (1)

• Critical theory of Pomeranchuk transitions via high-dimensional bosonization