Magnetic monopole plasma phase in (2+1)d compact quantum electrodynamics with fermionic matter

Abstract

We present the first evidence from lattice simulations that the magnetic monopoles in three dimensional compact quantum electrodynamics (cQED3) with N_f=2 and N_f= 4 four-component fermion flavors are in a plasma phase. The evidence is based mainly on the divergence of the monopole susceptibility (polarizability) with the lattice size at weak gauge couplings. A weak four-Fermi term added to the cQED3 action enabled simulations with massless fermions. The exact chiral symmetry of the interaction terms forbids symmetry breaking lattice discretization counterterms to appear in the theory's effective action. It is also shown that the scenario of a monopole plasma does not depend on the strength of the four-Fermi coupling. Other observables such as the densities of "isolated" dipoles and monopoles and the so-called specific heat show that a crossover from a dense monopole plasma to a dilute monopole gas occurs at strong couplings. The implications of our results on the stability of U(1) spin liquids in two spatial dimensions are also discussed.

20 pages, 9 figures

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Cited by in corpus (16)

• Monte Carlo Study of Lattice Compact Quantum Electrodynamics with Fermionic Matter: the Parent State of Quantum Phases
• Anomalous dimensions of monopole operators in three-dimensional quantum electrodynamics
• Revealing Fermionic Quantum Criticality from New Monte Carlo Techniques
• Numerical determination of monopole scaling dimension in parity-invariant three-dimensional non-compact QED
• Confinement transition in the QED${}_3$-Gross-Neveu-XY universality class
• Dynamics of Compact Quantum Electrodynamics at Large Fermion Flavor
• Phase diagram of the strongly correlated Kane-Mele-Hubbard model
• Spin-1/2 Heisenberg antiferromanget on kagome: a $Z_2$ spin liquid with fermionic spinons
• Chiral Symmetry Breaking in Planar QED in External Magnetic Fields
• Three-dimensional Abelian and non-Abelian gauge Higgs theories
• Conformal field theory and the hot phase of three-dimensional U(1) gauge theory
• A curious behavior of three-dimensional lattice Dirac operators coupled to monopole background
• Transition in the spectral gap of the massless overlap Dirac operator coupled to abelian fields in three dimensions
• Scalable hybrid quantum Monte Carlo simulation of U(1) gauge field coupled to fermions on GPU
• Perturbative computation in a QED${}_3$-inspired conformal abelian gauge model on the lattice
• Probing Non-Fermi-Liquid Behaviour of Composite Fermi Liquid via Efficient Thermal Simulations