Correlated Dirac Fermions on the Honeycomb Lattice studied within Cluster Dynamical Mean Field Theory

Abstract

The role of non-local Coulomb correlations in the honeycomb lattice is investigated within cluster dynamical mean field theory combined with finite-temperature exact diagonalization. The paramagnetic semi-metal to insulator transition is found to be in excellent agreement with finite-size determinantal Quantum Monte Carlo simulations and with cluster dynamical mean field calculations based on the continuous-time Quantum Monte Carlo approach. As expected, the critical Coulomb energy is much lower than within a local or single-site formulation. Short-range correlations are shown to give rise to a pseudogap and concomitant non-Fermi-liquid behavior within a narrow range below the Mott transition.

8 pages, 6 figures

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• Stopping dynamics of ions passing through correlated honeycomb clusters
• Antiferromagnetic topological insulator state in the correlated Bernevig-Hughes-Zhang model
• Doublon-holon binding, Mott transition, and fractionalized antiferromagnet in the Hubbard model
• Cluster dynamical mean field theory of quantum phases on a honeycomb lattice
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• Disappearance of the Dirac cone in silicene due to the presence of an electric field
• Finite-temperature properties of strongly correlated fermions in the honeycomb lattice
• Topological invariants in interacting Quantum Spin Hall: a Cluster Perturbation Theory approach
• Short range Coulomb correlations render massive Dirac fermions massless
• Interlayer magnetic frustration driven quantum spin disorder in honeycomb compound In${}_3$Cu${}_2$VO${}_9$
• Correlation-driven phase transition in a Chern insulator
• Interaction-induced metallic state in graphene on hexagonal boron nitride
• Strong coupling approach to Mott transition of massless and massive Dirac fermions on honeycomb lattice
• Correlated Dirac semimetal by periodized cluster dynamical mean-field theory
• Site-selective insulating phase in twisted bilayer Hubbard model
• Metal-Insulator Transition of Dirac Fermions: Variational Cluster Study
• Distinct-symmetry spin liquid states and phase diagram of Kitaev-Hubbard model
• Comment on "Absence of spin liquid in non-frustrated correlated systems"
• Strong-coupling perturbative study of the disordered Hubbard model on honeycomb lattice
• Emergence of Spinon Fermi Arcs in the Weyl-Mott Metal-Insulator Transition
• Hidden Kondo lattice physics in single-orbital Hubbard models
• Topological strongly correlated phases in orthorhombic diamond lattice compounds
• Rientrant metallicity in the Hubbard model: the case of honeycomb nanoribbons