5,358 research outputs found

    Critical Behaviour near the Mott Metal-Insulator Transition in a Two-band Hubbard Model

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    The Mott metal-insulator transition in the two-band Hubbard model in infinite dimensions is studied by using the linearized dynamical mean-field theory. The discontinuity in the chemical potential for the change from hole to electron doping is calculated analytically as a function of the on-site Coulomb interaction UU at the dd-orbital and the charge-transfer energy Δ\Delta between the dd- and pp-orbitals. Critical behaviour of the quasiparticle weight is also obtained analytically as a function of UU and Δ\Delta. The analytic results are in good agreement with the numerical results of the exact diagonalization method.Comment: 10 pages, 8 figure

    Prandtl number of lattice Bhatnagar-Gross-Krook fluid

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    The lattice Bhatnagar-Gross-Krook modeled fluid has an unchangeable unit Prandtl number. A simple method is introduced in this letter to formulate a flexible Prandtl number for the modeled fluid. The effectiveness was demonstrated by numerical simulations of the Couette flow.Comment: 4 pages, uuencoded postscript fil