Dynamics of Compact Quantum Electrodynamics at Large Fermion Flavor

Abstract

Thanks to the development in quantum Monte Carlo technique, the compact U(1) lattice gauge theory coupled to fermionic matter at (2+1)D is now accessible with large-scale numerical simulations, and the ground state phase diagram as a function of fermion flavor ($N_f$) and the strength of gauge fluctuations is mapped out~\cite{Xiao2018Monte}. Here we focus on the large fermion flavor case ($N_f=8$) to investigate the dynamic properties across the deconfinement-to-confinement phase transition. In the deconfined phase, fermions coupled to the fluctuating gauge field to form U(1) spin liquid with continua in both spin and dimer spectral functions, and in the confined phase fermions are gapped out into valence bond solid phase with translational symmetry breaking and gapped spectra. The dynamical behaviors provide supporting evidence for the existence of the U(1) deconfined phase and could shine light on the nature of the U(1)-to-VBS phase transition which is of the QED${}_3$-Gross-Neveu chiral O(2) universality whose properties still largely unknown.

arXiv comment11 pages, 6 figures

References in corpus (56)

• Quantum criticality beyond the Landau-Ginzburg-Wilson paradigm
• Z_2 Gauge Theory of Electron Fractionalization in Strongly Correlated Systems
• Pyrochlore Photons: The U(1) Spin Liquid in a S=1/2 Three-Dimensional Frustrated Magnet
• Evidence for deconfined quantum criticality in a two-dimensional Heisenberg model with four-spin interactions
• Fractionalization in an Easy-axis Kagome Antiferromagnet
• On the stability of U(1) spin liquids in two dimensions
• Pinning the order: the nature of quantum criticality in the Hubbard model on honeycomb lattice
• Topological Disorder Operators in Three-Dimensional Conformal Field Theory
• Algebraic spin liquid as the mother of many competing orders
• Signatures of Dirac cones in a DMRG study of the Kagome Heisenberg model
• Gapless Spin Excitations in the Field-Induced Quantum Spin Liquid Phase of alpha-RuCl3
• An SU(2) Formulation of the t-J model: Application to Underdoped Cuprates
• Electron spectral function and algebraic spin liquid for the normal state of underdoped high $T_c$ superconductors
• Spin correlations in the algebraic spin liquid - implications for high Tc superconductors
• Gapped spin-1/2 spinon excitations in a new kagome quantum spin liquid compound Cu${}_3$Zn(OH)${}_6$FBr
• Phase diagram of the half-filled two-dimensional SU(N) Hubbard-Heisenberg model: a quantum Monte Carlo study
• Nearly deconfined spinon excitations in the square-lattice spin-1/2 Heisenberg antiferromagnet
• Duality between the deconfined quantum-critical point and the bosonic topological transition
• Unifying Description of Competing Orders in Two Dimensional Quantum Magnets
• Constrained sampling method for analytic continuation
• Charged fermions coupled to ${\mathbb{Z}}_2$ gauge fields: Superfluidity, confinement and emergent Dirac fermions
• Dynamical Signature of Fractionalization at the Deconfined Quantum Critical Point
• Orthogonal Metals: The simplest non-Fermi liquids
• Confinement transition of ${\mathbb{Z}}_2$ gauge theories coupled to massless fermions: emergent QCD${}_3$ and $SO(5)$ symmetry
• Microscopic models for fractionalized phases in strongly correlated systems
• On the Phase Structure of Many-Flavor QED${}_3$
• Monte Carlo Study of Lattice Compact Quantum Electrodynamics with Fermionic Matter: the Parent State of Quantum Phases
• Scale-invariance of parity-invariant three-dimensional QED
• Deconfinement transition in three-dimensional compact U(1) gauge theories coupled to matter fields
• Permanent confinement in the compact QED3 with fermionic matter
• A simple fermionic model of deconfined phases and phase transitions
• Signatures of a Deconfined Phase Transition on the Shastry-Sutherland Lattice: Applications to Quantum Critical SrCu${}_2$(BO${}_3$)${}_2$
• Dynamics of Topological Excitations in a Model Quantum Spin Ice
• Emergent Symmetry and Conserved Current at a One Dimensional Incarnation of Deconfined Quantum Critical Point
• Simple ${\mathbb{Z}}_2$ lattice gauge theories at finite fermion density
• Emmy Noether looks at the deconfined quantum critical point
• Dynamical Signature of Symmetry Fractionalization in Frustrated Magnets
• The amplitude mode in three-dimensional dimerized antiferromagnets
• Revealing Fermionic Quantum Criticality from New Monte Carlo Techniques
• Monopole Taxonomy in Three-Dimensional Conformal Field Theories
• Deconfined criticality in the QED${}_3$ Gross-Neveu-Yukawa model: The $1/N$ expansion revisited
• Monopoles in 2+1-dimensional conformal field theories with global U(1) symmetry
• Critical behavior of the QED${}_3$-Gross-Neveu-Yukawa model at four loops
• Critical behaviour of ($2+1$)-dimensional QED: 1/N_f-corrections in the Landau gauge
• Transition from a Dirac spin liquid to an antiferromagnet: Monopoles in a QED3-Gross-Neveu theory
• Erratum: algebraic spin liquid as the mother of many competing orders
• Deconfined criticality from the QED${}_3$-Gross-Neveu model at three loops
• Deconfined quantum criticality and emergent SO(5) symmetry in fermionic systems
• Mott transition in the $\pi$-flux SU($4$) Hubbard model on a square lattice
• Compact quantum electrodynamics in 2+1 dimensions and spinon deconfinement: a renormalization group analysis
• Fermion bilinear operator critical exponents at $O(1/N^2)$ in the QED-Gross-Neveu universality class
• Magnetic monopole plasma phase in (2+1)d compact quantum electrodynamics with fermionic matter
• Scale-invariance and scale-breaking in parity-invariant three-dimensional QCD
• Critical properties of the Néel/algebraic-spin-liquid transition
• Parity anomaly cancellation in a three-dimensional QED with single massless Dirac fermion
• Self-consistent theory of compact QED3 with relativistic fermions

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• Confinement transition in the QED${}_3$-Gross-Neveu-XY universality class
• 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
• Dynamical properties of quantum many-body systems with long range interactions
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• Critical exponents for the valence-bond-solid transition in lattice quantum electrodynamics
• 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
• Self-duality protected multi-criticality in deconfined quantum phase transitions
• Universal collective Larmor-Silin mode emerging in magnetized correlated Dirac fermions
• Critical behavior of QED${}_3$--Gross-Neveu-Yukawa Theory in an Arbitrary Gauge