Cluster dynamical mean field theory of quantum phases on a honeycomb lattice

Abstract

We have studied the ground state of the half-filled Hubbard model on a honeycomb lattice by performing the cluster dynamical mean field theory calculations with exact diagonalization on the cluster-impurity solver. Through using elaborate numerical analytic continuation, we identify the existence of a `spin liquid' from the on-site interaction U=0 to $U_c$ (between $4.6t$ and $4.85t$) with a smooth crossover correspondingly from the charge fluctuation dominating phase into the charge correlation dominating phase. The semi-metallic state exits only at U=0. We further find that the magnetic phase transition at $U_c$ from the `spin liquid' to the Néel antiferromagnetic Mott insulating phase is a first-order quantum phase transition. We also show that the charge fluctuation plays a substantial role on keeping the `spin liquid' phase against the emergence of a magnetic order.

5 pages and 8 figures

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Cited by in corpus (22)

• Topological phase transitions in the repulsively interacting Haldane-Hubbard model
• The intermediate and spin-liquid phase of the half-filled honeycomb Hubbard model
• The Hubbard model on the honeycomb lattice: from static and dynamical mean-field theories to lattice quantum Monte Carlo simulations
• Antiferromagnetism in the Hubbard model on the honeycomb lattice: a Two-Particle Self-Consistent study
• Non-Hermitian strongly interacting Dirac fermions: a quantum Monte-Carlo study
• Stopping dynamics of ions passing through correlated honeycomb clusters
• Interaction effect in two-dimensional Dirac fermions
• Antiferromagnetic topological insulator state in the correlated Bernevig-Hughes-Zhang model
• Dynamical Mean-Field Theory Simulations with the Adaptive Sampling Configuration Interaction Method
• Doublon-holon binding, Mott transition, and fractionalized antiferromagnet in the Hubbard model
• Coulomb correlations in the honeycomb lattice: role of translation symmetry
• Disappearance of the Dirac cone in silicene due to the presence of an electric field
• Sign Structure, Electron Fractionalization, and Emergent Gauge Description of the Hubbard Model
• Finite-temperature properties of strongly correlated fermions in the honeycomb lattice
• Topological invariants in interacting Quantum Spin Hall: a Cluster Perturbation Theory approach
• 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
• Direct observation of fragile Mott insulators on plaquette Hubbard lattices
• Metal-Insulator Transition of Dirac Fermions: Variational Cluster Study
• Distinct-symmetry spin liquid states and phase diagram of Kitaev-Hubbard model
• Phase transitions in the binary-alloy Hubbard model: insight from strong-coupling perturbation theory
• Strong-coupling perturbative study of the disordered Hubbard model on honeycomb lattice