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

Abstract

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 always win with respect to the TMI. The ground state is given in the large-$V_2$ region by a CDW characterized by a 220200 (001122) charge configuration for smaller (larger) $U$, where 0, 1, and 2 denote essentially empty, singly occupied, and doubly occupied sites. Within the 001122-type CDW phase, we find a magnetic transition driven by an emergent coupled-dimer antiferromagnet on an effective square lattice of singly occupied sites. Possible realizations of the found states are discussed.

9 pages, 12 figures

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• Effect of exchange interaction on electronic instabilities in the honeycomb lattice: A functional renormalization group study
• Novel criticality of Dirac fermions in the presence of emergent gauge fields
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• Hidden Charge Order of Interacting Dirac Fermions on the Honeycomb Lattice
• Quantum spin Hall insulator on the honeycomb lattice induced by ferromagnetic exchange interaction
• Charge-density waves in kagome-lattice extended Hubbard models at the van Hove filling