Hubbard Model in Infinite Dimensions

Walter Metzner, D. Vollhardt

Marcelo J. Rozenberg

Mark Jarrell, Thomas Pruschke

Claudius Gros, Wolfgang Wenzel, Roser Valent� +1 more

D. Baeriswyl

Introduction. Solvable Models, Rigorous Results, and Advances in Formalism: The Hubbard Model: Some Rigorous Results and Open Problems E.H. Lieb. On the Bethe Ansatz Soluble Degenerate Hubbard Model H. Frahm, A. Schadschneider. Infinite in all Dimensions: Large Coupling, High Dimensions, Many Components: The Mott Transition in Infinite Dimensions: Old Ideas and Some Surprises G. KIotliar, M.J. Rozenberg. The Hubbard Model with Infinite Interaction: Magnetic Properties V.Ya. Krivnov, et al. Fermi Liquid versus Luttinger Liquid: Two Particle Scattering and Orthogonality Catastrophe in the Hubbard Model W. Metzner. Conservation Laws in Normal Metals: Luttinger Liquid vs. Fermi Liquid C. Di Castro, et al. Perturbative, Mean Field, Variational, and Numerical Studies: Hartree-Fock and RPA Studies of the Hubbard Model G. Guinea, et al. The Wavefunction Renormalization Constant for the One- and Two-band Hubbard Hamiltonians in Two Dimensions E. Louis, et al. Experiments and Physical Applications: Electron Spectroscopy and Hubbard: Issues and Opportunities J.W. Allen, et al. On Electrical Properties of Chalcogenide Glassy Semiconductors in the Framework of Hubbard Model with Negative Correlation Energy S.D. Savransky. 34 additional articles. Index.

Tetsuro Saso, Takumi Hayashi

The magnetization curve of the infinite-dimensional Hubbard model is calculated by using the quantum Monte Carlo method. The calculated curve is essentially the same as that of the exact solution in one dimension and that of the Gutzwiller approximation, which suggests the same behavior in all the intermediate dimensions. Combined with the knowledge on the Anderson impurity, the change of the shape of the density of states of the Hubbard model under a magnetic field is discussed.