Suppression of topological Mott-Hubbard phases by multiple charge orders in the honeycomb extended Hubbard model

@article{Bijelic2018SuppressionOT,
  title={Suppression of topological Mott-Hubbard phases by multiple charge orders in the honeycomb extended Hubbard model},
  author={Mario Bijelic and Ryui Kaneko and Claudius Gros and Roser Valent'i},
  journal={Physical Review B},
  year={2018},
  volume={97},
  pages={125142}
}
We investigate the competition between charge-density-wave (CDW) states and a Coulomb interaction-driven topological Mott insulator (TMI) in the honeycomb extended Hubbard model. For the spinful model with on-site ($U$) and next-nearest-neighbor ($V_2$) Coulomb interactions at half filling, we find two peculiar six-sublattice charge-density-wave insulating states by using variational Monte Carlo simulations as well as the Hartree-Fock approximation. We observe that conventional ordered states… Expand
6 Citations
Hidden charge order of interacting Dirac fermions on the honeycomb lattice
We consider the extended half-filled Hubbard model on the honeycomb lattice for second nearest-neighbor interactions. Using a functional integral approach, we find that collective fluctuationsExpand
Effect of exchange interaction on electronic instabilities in the honeycomb lattice: A functional renormalization group study
The impact of local and non-local density-density interactions on the electronic instabilities in the honeycomb lattice is widely investigated. Some of early studies proposed the emergence ofExpand
Charge-Density-Wave Transitions of Dirac Fermions Coupled to Phonons.
TLDR
The spontaneous generation of charge-density-wave order in a Dirac fermion system via the natural mechanism of electron-phonon coupling is studied in the framework of the Holstein model on the honeycomb lattice and finite-size scaling appears consistent with fermionic Gross-Neveu-Ising universality for the quantum phase transition and bosonic Ising universalities for the thermal phase transition. Expand
Criticality of Dirac fermions in the presence of emergent gauge fields
We consider spontaneous symmetry breaking transitions of strongly interacting two-dimensional Dirac fermions minimally coupled to mass and emergent gauge field order parameters. Using aExpand
The Mott transition as a topological phase transition
The Mott transition is a classic paradigm in quantum many-body physics, in which electronic interactions can produce an insulating state. By contrast, a nontrivial band-structure topology inExpand
Two‐Particle Self‐Consistent Method for the Multi‐Orbital Hubbard Model
One of the most challenging problems in solid state systems is the description of electronic correlations. A paramount minimal model that encodes correlation effects is the Hubbard Hamiltonian, whichExpand

References

SHOWING 1-10 OF 42 REFERENCES
Emergent lattices with geometrical frustration in doped extended Hubbard models
Spontaneous charge ordering occurring in correlated systems may be considered as a possible route to generate effective lattice structures with unconventional couplings. For this purpose weExpand
Competing electronic instabilities of extended Hubbard models on the honeycomb lattice: A functional renormalization group calculation with high-wave-vector resolution
We investigate the quantum many-body instabilities for electrons on the honeycomb lattice at half-filling with extended interactions, motivated by a description of graphene and related materials. WeExpand
Electronic instabilities of the extended Hubbard model on the honeycomb lattice from functional renormalization
Interacting fermions on the half-filled honeycomb lattice with short-range repulsions have been suggested to host a variety of interesting many-body ground states, e.g., a topological Mott insulator.Expand
Stabilization of topological insulator emerging from electron correlations on honeycomb lattice and its possible relevance in twisted bilayer graphene
Realization and design of topological insulators emerging from electron correlations, called topological Mott insulators (TMIs), is pursued by using mean-field approximations as well asExpand
Nonlocal density interactions in auxiliary-field quantum Monte Carlo simulations: application to the square lattice bilayer and honeycomb lattice
We consider an efficient scheme to simulate fermionic Hubbard models with nonlocal density-density interactions in two dimensions, based on bond-centered auxiliary-field quantum Monte Carlo. TheExpand
Topological Mott insulators.
TLDR
Renormalization group analysis shows that topological Mott phases displaying the quantum Hall and the quantum spin Hall effects are found for spinless and spin fermion models, respectively. Expand
Phases of correlated spinless fermions on the honeycomb lattice
We use exact diagonalization and cluster perturbation theory to address the role of strong interactions and quantum fluctuations for spinless fermions on the honeycomb lattice. We find quantumExpand
Absence of a Spin Liquid Phase in the Hubbard Model on the Honeycomb Lattice
TLDR
By performing numerically exact quantum Monte Carlo simulations, this work extends the previous study to much larger clusters, and finds, if any, a very weak evidence of this spin liquid region, and indicates a direct and continuous quantum phase transition between SM and AFMI. Expand
Semi-Metal-Insulator Transition of the Hubbard Model in the Honeycomb Lattice
Using quantum Monte Carlo and finite-size scaling for the Hubbard model, we find evidence of a zero-temperature transition between the nonmagnetic semi-metal and an antiferromagnetic insulator in theExpand
Interaction-driven phases in the half-filled honeycomb lattice: An infinite density matrix renormalization group study
The emergence of the Haldane Chern insulator state due to strong short range repulsive interactions in the half-filled fermionic spinless honeycomb lattice model has been proposed and challenged withExpand
...
1
2
3
4
5
...