Metal-insulator transition in the Hubbard model

The scaling behaviour of the dynamical properties near the metal-insulator transition in the finite-dimensional Hubbard model is studied via Wilson's numerical renormalization group method, after using the standard mapping into an effective Anderson impurity model. The very low frequency form of the Green's function and the self-energy scales with the quasiparticle weight Z. On approaching the metal-insulator transition, a two peak structure in the imaginary part develops which goes over to the pole at zero frequency in the insulating regime. The positions of this two peaks scale as Z(1/2). (C) 1999 Elsevier Science B.V. All rights reserved.