Exact Diagonalization Study of 2D Hubbard Model on Honeycomb Lattice: Semi-metal-Insulator Transition
arXiv:1409.8006 · doi:10.1016/j.physleta.2011.07.019
Abstract
Phase transition in a honeycomb lattice is studied by the means of the two dimensional Hubbard model and the exact diagonalization dynamical mean field theory at zero temperature. At low energies, the dispersion relation is shown to be a linear function of the momentum. In the limit of weak interactions, the system is in the semi-metal phase. By increasing the on site interaction a semi-metal to insulator transition takes place in the paramagnetic phase. Calculation of double occupancy shows such a phase transition is of the second order. The respective phase transition point and critical on-site interaction are determined using renormalized Fermi velocity factor.
arXiv comment10 pages, 4 figures
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- Geometrical structure and the electron transport properties of monolayer and bilayer silicene near the semimetal-insulator transition point in tight-binding model
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- Magnetic properties and temperature variation of spectra in the Hubbard model
- Effects of correlations on honeycomb lattice in ionic-Hubbard Model
- Quantum Phase transition in the two dimensional ionic-Hubbard model