Fermi-liquid ground state of interacting Dirac fermions in two dimensions

Abstract

An unbiased zero-temperature auxiliary-field quantum Monte Carlo method is employed to analyze the nature of the semimetallic phase of the two-dimensional Hubbard model on the honeycomb lattice at half filling. It is shown that the quasiparticle weight $Z$ of the massless Dirac fermions at the Fermi level, which characterizes the coherence of zero-energy single-particle excitations, can be evaluated in terms of the long-distance equal-time single-particle Green's function. If this quantity remains finite in the thermodynamic limit, the low-energy single-particle excitations of the correlated semimetallic phase are described by a Fermi-liquid-type single-particle Green's function. Based on the unprecedentedly large-scale numerical simulations on finite-size clusters containing more than ten thousands sites, we show that the quasiparticle weight remains finite in the semimetallic phase below a critical interaction strength. This is also supported by the long-distance algebraic behavior ($\sim r^{-2}$, where $r$ is distance) of the equal-time single-particle Green's function that is expected for the Fermi liquid. Our result thus provides a numerical confirmation of Fermi-liquid theory in two-dimensional correlated metals.

10 pages, 6 figures

References in corpus (12)

• The electronic properties of graphene
• Quantum spin-liquid emerging in two-dimensional correlated Dirac fermions
• Absence of a Spin Liquid Phase in the Hubbard Model on the Honeycomb Lattice
• Theory of interacting electrons on the honeycomb lattice
• Four-loop critical exponents for the Gross-Neveu-Yukawa models
• Dirac Fermions with Competing Orders: Non-Landau Transition with Emergent Symmetry
• Phase diagram of the Kane-Mele-Coulomb model
• Gutzwiller description of non-magnetic Mott insulators: a dimer lattice model
• Optical properties of graphene: the Fermi liquid approach
• Topological interpretation of Luttinger theorem
• Stability of Dirac Liquids with Strong Coulomb Interaction
• Low-temperature density matrix renormalization group using regulated polynomial expansion

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• Nonequilibrium Dynamics of Dirac Quantum Criticality in Imaginary Time
• Chiral Heisenberg Gross-Neveu-Yukawa criticality: Honeycomb vs. SLAC fermions