Confinement transition in the QED${}_3$-Gross-Neveu-XY universality class

Abstract

The coupling between fermionic matter and gauge fields plays a fundamental role in our understanding of nature, while at the same time posing a challenging problem for theoretical modeling. In this situation, controlled information can be gained by combining different complementary approaches. Here, we study a confinement transition in a system of $N_f$ flavors of interacting Dirac fermions charged under a U(1) gauge field in 2+1 dimensions. Using Quantum Monte Carlo simulations, we investigate a lattice model that exhibits a continuous transition at zero temperature between a gapless deconfined phase, described by three-dimensional quantum electrodynamics, and a gapped confined phase, in which the system develops valence-bond-solid order. We argue that the quantum critical point is in the universality class of the QED${}_3$-Gross-Neveu-XY model. We study this field theory within a $1/N_f$ expansion in fixed dimension as well as a renormalization group analysis in $4-\epsilon$ space-time dimensions. The consistency between numerical and analytical results is revealed from large to intermediate flavor number.

10 pages, 9 figures; v2: additional data and explanations, corrected erroneous interpretation of dimer scaling dimension

References in corpus (23)

• Quantum criticality beyond the Landau-Ginzburg-Wilson paradigm
• Evidence for deconfined quantum criticality in a two-dimensional Heisenberg model with four-spin interactions
• On the stability of U(1) spin liquids in two dimensions
• Algebraic spin liquid as the mother of many competing orders
• Fermionic quantum criticality in honeycomb and $\pi$-flux Hubbard models: Finite-size scaling of renormalization-group-invariant observables from quantum Monte Carlo
• Choreographed entangle dances: topological states of quantum matter
• Four-loop critical exponents for the Gross-Neveu-Yukawa models
• Duality between the deconfined quantum-critical point and the bosonic topological transition
• Charged fermions coupled to ${\mathbb{Z}}_2$ gauge fields: Superfluidity, confinement and emergent Dirac fermions
• On the Phase Structure of Many-Flavor QED${}_3$
• A simple fermionic model of deconfined phases and phase transitions
• Ising and Gross-Neveu model in next-to-leading order
• Simple ${\mathbb{Z}}_2$ lattice gauge theories at finite fermion density
• Gauge-field-assisted Kekulé quantum criticality
• Critical behavior of the QED${}_3$-Gross-Neveu model: Duality and deconfined criticality
• Designer Monte Carlo Simulation for Gross-Neveu Transition
• Large $N_f$ quantum field theory
• Easy-plane QED${}_3$'s in the large $N_f$ limit
• Critical behaviour of ($2+1$)-dimensional QED: $1/N_f$-corrections in an arbitrary non-local gauge
• Critical properties of the valence-bond-solid transition in lattice quantum electrodynamics
• Fermion-induced quantum critical point in Dirac semimetals: a sign-problem-free quantum Monte Carlo study
• Monopole operators and their symmetries in QED3-Gross-Neveu models
• Critical number of fermions in three-dimensional QED

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• Quantum phase transitions in Dirac fermion systems
• Dirac fermions with plaquette interactions. II. SU(4) phase diagram with Gross-Neveu criticality and quantum spin liquid
• Anomalous dimensions of monopole operators at the transitions between Dirac and topological spin liquids
• Sign Problem in Quantum Monte Carlo Simulation
• Nonequilibrium dynamics in deconfined quantum critical point revealed by imaginary-time evolution
• Three-dimensional Abelian and non-Abelian gauge Higgs theories
• Random-mass disorder in the critical Gross-Neveu-Yukawa models
• Critical properties of metallic and deconfined quantum phase transitions in Dirac systems
• Dual dynamic scaling in deconfined quantum criticality
• Symmetry-breaking effects of instantons in parton gauge theories
• Continuous transition between Ising magnetic order and a chiral spin liquid
• Preempting Fermion Sign Problem: Unveiling Quantum Criticality through Nonequilibrium Dynamics in Imaginary Time
• Quantum Monte Carlo for Gauge Fields and Matter without the Fermion Determinant
• Fermion enhanced first-order phase transition and chiral Gross-Neveu tricritical point
• Critical structure and emergent symmetry of Dirac fermion systems
• Quantum-critical electrodynamics of Luttinger fermions
• Scalable hybrid quantum Monte Carlo simulation of U(1) gauge field coupled to fermions on GPU
• Deconfined quantum criticality in Ising gauge theory entangled with single-component fermions
• Fermionic criticality with enlarged fluctuations in Dirac semimetals
• Nesting instability of gapless U(1) spin liquids with spinon Fermi pockets in two dimensions