Charge instabilities and topological phases in the extended Hubbard model on the honeycomb lattice with enlarged unit cell

Abstract

We study spontaneous symmetry breaking in a system of spinless fermions in the Honeycomb lattice paying special emphasis to the role of an enlarged unit cell on time reversal symmetry broken phases. We use a tight binding model with nearest neighbor hopping t and Hubbard interaction V1 and V2 and extract the phase diagram as a function of electron density and interaction within a mean field variational approach. The analysis completes the previous work done in Phys. Rev. Lett. 107, 106402 (2011) where phases with non--trivial topological properties were found with only a nearest neighbor interaction V1 in the absence of charge decouplings. We see that the topological phases are suppressed by the presence of metallic charge density fluctuations. The addition of next to nearest neighbor interaction V2 restores the topological non-trivial phases.

References in corpus (40)

• Topological Insulators
• Topological insulators and superconductors
• Quantum Spin Hall Effect in Graphene
• Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells
• $Z_2$ Topological Order and the Quantum Spin Hall Effect
• Anomalous Hall effect
• Mott physics and band topology in materials with strong spin-orbit interaction
• Creating, moving and merging Dirac points with a Fermi gas in a tunable honeycomb lattice
• Berry Curvature on the Fermi Surface: Anomalous Hall Effect as a Topological Fermi-Liquid Property
• Chiral superconductivity from repulsive interactions in doped graphene
• Topological Mott Insulators
• Electron fractionalization in two-dimensional graphenelike structures
• Topological Insulators and Nematic Phases from Spontaneous Symmetry Breaking in 2D Fermi Systems with a Quadratic Band Crossing
• Topological Insulators and Mott Physics from the Hubbard Interaction
• Simulation and detection of Dirac fermions with cold atoms in an optical lattice
• Existence and topological stability of Fermi points in multilayered graphene
• Correlation Effects in Quantum Spin-Hall Insulators: A Quantum Monte Carlo Study
• Interaction-driven topological insulators on the kagome and the decorated honeycomb lattices
• Particle-hole symmetry and interaction effects in the Kane-Mele-Hubbard model
• Orbital analogue of quantum anomalous Hall effect in $p$-band systems
• Realizing and Detecting the Haldane's Quantum Hall effect with Ultracold Atoms
• Interaction driven instabilities of a Dirac semi-metal
• Ultracold Fermions in a Graphene-Type Optical Lattice
• Rydberg-Atom Quantum Simulation and Chern Number Characterization of a Topological Mott Insulator
• Time-Reversal Symmetry Breaking and Spontaneous Anomalous Hall Effect in Fermi Fluids
• Topological Phase Transitions for Interacting Finite Systems
• Itinerant half-metal spin-density-wave state on the hexagonal lattice
• Spontaneous persistent currents in magnetically ordered graphene ribbons
• Geometrical and topological aspects of graphene and related materials
• The effects of interaction on quantum spin Hall insulators
• Topological Fermi liquids from Coulomb interactions in the doped Honeycomb lattice
• Spontaneous symmetry breakings in two-dimensional kagome lattice
• Spin-density-wave instability in graphene doped near the van Hove singularity
• Pomeranchuk instability in doped graphene
• Charge and spin order in one-dimensional electron systems with long-range Coulomb interactions
• Change of an insulator's topological properties by a Hubbard interaction
• Topological insulating phases in mono and bilayer graphene
• Non-Abelian SU(2) gauge fields through density-wave order and strain in graphene
• Unconventional metallic conduction in two-dimensional Hubbard-Wigner lattices
• Quarter-Filled Honeycomb Lattice with a Quantized Hall Conductance

Cited by in corpus (72)

• Interacting topological insulators: a review
• Novel effects of strains in graphene and other two dimensional materials
• Phases of correlated spinless fermions on the honeycomb lattice
• Nematic quantum criticality in three-dimensional Fermi system with quadratic band touching
• Dirac Fermions with Competing Orders: Non-Landau Transition with Emergent Symmetry
• Interaction driven phases in the half-filled honeycomb lattice: an infinite density matrix renormalization group study
• Novel magnetic orderings in the kagome Kondo-lattice model
• Phase diagram of interacting spinless fermions on the honeycomb lattice: A comprehensive exact diagonalization study
• Interaction driven phases in the honeycomb lattice from exact diagonalization
• Ising and Gross-Neveu model in next-to-leading order
• Symmetry-Breaking Topological Insulators in the ${\mathbb{Z}}_2$ Bose-Hubbard Model
• Fixed-point structure of low-dimensional relativistic fermion field theories: Universality classes and emergent symmetry
• Quantum Simulation of a Topological Mott Insulator with Rydberg Atoms in a Lieb Lattice
• Gauge-field-assisted Kekulé quantum criticality
• Critical (Chiral) Heisenberg Model with the Functional Renormalisation Group
• Correlated spinless fermions on the honeycomb lattice revisited
• Interaction-induced anomalous quantum Hall state on the honeycomb lattice
• Orbitally induced hierarchy of exchange interactions in zigzag antiferromagnetic state of honeycomb silver delafossite Ag3Co2SbO6
• Magnetic Order Driven Topological Transition in the Haldane-Hubbard Model
• Competition of density waves and quantum multicritical behavior in Dirac materials from functional renormalization
• Sublattice structure and topology in spontaneously crystallized electronic states
• Weakly Interacting Topological Insulators: Quantum Criticality and Renormalization Group Approach
• Mott multicriticality of Dirac electrons in graphene
• Quantum phase transitions in Dirac fermion systems
• Self-organized topological insulator due to cavity-mediated correlated tunneling
• Engineering interaction-induced topological insulators in a $\sqrt{3}\times \sqrt{3}$ substrate-induced honeycomb superlattice
• Unconventional pairing and electronic dimerization instabilities in the doped Kitaev-Heisenberg model
• Zero-modes and global antiferromagnetism in strained graphene
• Quantum Anomalous Hall Insulator Stabilized By Competing Interactions
• Antiferromagnetism and competing charge instabilities of electrons in strained graphene from Coulomb interactions
• Interacting Dirac fermions under spatially alternating pseudo-magnetic field: Realization of spontaneous quantum Hall effect
• Nonlocal density interactions in auxiliary-field quantum Monte Carlo simulations: application to the square lattice bilayer and honeycomb lattice
• Phase diagram of interacting spinless fermions on the honeycomb lattice
• Momentum dependence of quantum critical Dirac systems
• Self-Trapped Polarons and Topological Defects in a Topological Mott Insulator
• Electronic Instabilities of the AA-Honeycomb Bilayer
• Electronic instabilities of the extended Hubbard model on the honeycomb lattice from functional renormalization
• Instabilities of a birefringent semi-metal
• Effects of Interaction in the Hofstadter regime of the honeycomb lattice
• Quantum anomalous Hall phase in synthetic bilayers via twistless twistronics
• Competing charge-density-wave, magnetic and topological ground states at and near Dirac points in graphene in axial magnetic fields
• Stabilization of Topological Insulator Emerging from Electron Correlations on Honeycomb Lattice and Its Possible Relevance in Twisted Bilayer Graphene
• Interaction-induced quantum spin Hall insulator in the organic Dirac electron system $\alpha$-(BEDT-TSeF)${}_2$I${}_3$
• Quantum anomalous Hall state from spatially decaying interactions on the decorated honeycomb lattice
• 3D Quantum Anomalous Hall Effect in Hyperhoneycomb Lattices
• Fermionic criticality of anisotropic nodal point semimetals away from the upper critical dimension: exact $1/N_f$ exponents
• Effect of exchange interaction on electronic instabilities in the honeycomb lattice: A functional renormalization group study
• Coulomb interactions, Dirac sea polarization and $SU(4)$ symmetry breaking of the integer quantum Hall states of graphene
• Suppression of topological Mott-Hubbard phases by multiple charge orders in the honeycomb extended Hubbard model
• Interaction-driven quantum anomalous Hall insulator in Dirac semimetal
• Relativistic Mott transitions and finite-temperature effects of quantum criticality in Dirac semimetals
• Bond-ordered states and $f$-wave pairing of spinless fermions on the honeycomb lattice
• Realizing Topological Mott Insulators from the RKKY Interaction
• Novel criticality of Dirac fermions in the presence of emergent gauge fields
• Emergent lattices with geometrical frustration in doped extended Hubbard models
• Translational symmetry breaking and the disintegration of the Hofstadter butterfly
• Corroborating the bulk-edge correspondence in weakly interacting 1D topological insulators
• Novel criticality of Dirac fermions from lattice symmetry breaking
• Hidden Charge Order of Interacting Dirac Fermions on the Honeycomb Lattice
• Topological multiferroic phases in the extended Kane-Mele-Hubbard Model in the Hofstadter regime
• Temperature-induced spontaneous time-reversal symmetry breaking on the honeycomb lattice
• Efficient algorithm to compute the Berry conductivity
• Quantum spin Hall insulator on the honeycomb lattice induced by ferromagnetic exchange interaction
• The extended Hubbard model on a honeycomb lattice
• Non-Hermitian catalysis of spontaneous symmetry breaking on Euclidean and hyperbolic lattices
• Supervised learning of an interacting 2D hard-core boson model of a weak topological insulator using correlation functions
• Effective field theory of an anomalous Hall metal from interband quantum fluctuations
• Excitonic pairing of two-dimensional Dirac fermions near the antiferromagnetic quantum critical point
• Robust band of critical states in T broken fermionic systems with lattice selective disorder
• Interplay of interactions and disorder at the charge-density wave transition of two-dimensional Dirac semimetals
• Stability of the Néel quantum critical point in the presence of Dirac fermions
• Segregation growth and self-organization of ordered S atomic superlattices confined at interface between graphene and substrates