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.

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• Topological Mott Insulators
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• Spontaneous symmetry breakings in two-dimensional kagome lattice
• Pomeranchuk instability in doped graphene
• Change of an insulator's topological properties by a Hubbard interaction
• Non-Abelian SU(2) gauge fields through density-wave order and strain in graphene
• Unconventional metallic conduction in two-dimensional Hubbard-Wigner lattices

Cited by in corpus (26)

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• Ising and Gross-Neveu model in next-to-leading order
• Gauge-field-assisted Kekulé quantum criticality
• Sublattice structure and topology in spontaneously crystallized electronic states
• Self-organized topological insulator due to cavity-mediated correlated tunneling
• Unconventional pairing and electronic dimerization instabilities in the doped Kitaev-Heisenberg model
• Antiferromagnetism and competing charge instabilities of electrons in strained graphene from Coulomb interactions
• Phase diagram of interacting spinless fermions on the honeycomb lattice
• Momentum dependence of quantum critical Dirac systems
• Electronic Instabilities of the AA-Honeycomb Bilayer
• Quantum anomalous Hall phase in synthetic bilayers via twistless twistronics
• Instabilities of a birefringent semi-metal
• Competing charge-density-wave, magnetic and topological ground states at and near Dirac points in graphene in axial magnetic fields
• Interaction-induced quantum spin Hall insulator in the organic Dirac electron system $\alpha$-(BEDT-TSeF)${}_2$I${}_3$
• Fermionic criticality of anisotropic nodal point semimetals away from the upper critical dimension: exact $1/N_f$ exponents
• Interaction-driven quantum anomalous Hall insulator in Dirac semimetal
• Relativistic Mott transitions and finite-temperature effects of quantum criticality in Dirac semimetals
• Temperature-induced spontaneous time-reversal symmetry breaking on the honeycomb lattice
• 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
• Excitonic pairing of two-dimensional Dirac fermions near the antiferromagnetic quantum critical point
• Stability of the Néel quantum critical point in the presence of Dirac fermions
• Interplay of interactions and disorder at the charge-density wave transition of two-dimensional Dirac semimetals