Effects of correlations on honeycomb lattice in ionic-Hubbard Model

Abstract

In a honeycomb lattice the symmetry has been broken by adding an ionic potential and a single-particle gap was generated in the spectrum. We have employed the iterative perturbation theory (IPT) in dynamical mean field approximation method to study the effects of competition between $U$ and $\Delta$ on energy gap and renormalized Fermi velocity. We found, the competition between the single-particle gap parameter and the Hubbard potential closed the energy gap and restored the semi-metal phase, then the gap is opened again in Mott insulator phase. For a fixed $\Delta$ by increasing $U$, the renormalized Fermi velocity $\widetilde{v_F}$ is decreased, but change in $\Delta$, for a fixed $U$, has no effects on $\widetilde{v_F}$. The difference in filling factor is calculated for various number of $U,\Delta$. The results of this study can be implicated for gapped graphene e.g. hydrogenated graphene.

7 pages, 3 figure

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Cited by in corpus (4)

• Topological phase transitions in the repulsively interacting Haldane-Hubbard model
• Singlet exciton condensation and bond-order-wave phase in the extended Hubbard model
• Intermediate Phase in Interacting Dirac Fermions with Staggered Potential
• Quantum Phase transition in the two dimensional ionic-Hubbard model