The Metal-Insulator Transition in the Hubbard Model

M. G. Zacher, A. Dorneich, C. Gröber, R. Eder and W. Hanke
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M. G. Zacher: Universität Würzburg, Institut für Theoretische Physik
A. Dorneich: Universität Würzburg, Institut für Theoretische Physik
C. Gröber: Universität Würzburg, Institut für Theoretische Physik
R. Eder: Universität Würzburg, Institut für Theoretische Physik
W. Hanke: Universität Würzburg, Institut für Theoretische Physik

A chapter in High Performance Computing in Science and Engineering ’99, 2000, pp 130-148 from Springer

Abstract: Abstract The Mott-Hubbard metal-insulator transition is studied in the two-dimensional Hubbard Model with and without next-nearest neighbor hopping at half-filling by a combination of Quantum-Monte-Carlo and exact diagonalization techniques. In the case without next-nearest neighbor hopping, antiferromagnetic correlations are suppressed by large fluctuations due to a relatively high tempera-ture. The single particle spectral function and the spin— and charge-excitations of the metallic state below the critical Hubbard interaction U c, where the transtion occurs, are similar to the tight-binding result for U = 0. Above U c, a non-isotropic gap in the spectral function opens, and flat sidebands appear in the spectrum. The gap formation is accompanied by pronounced spin— and charge-modes. In the case including next-nearest neighbor hopping, both finite-temperature Quantum- Monte-Carlo and exact diagonalization (T = 0) results yield a metal-insulator transition at about the same critical interaction U c. However, whereas the finite- temperature transition is again of the Mott-Hubbard type, the T = 0 transition is of Mott-Heisenberg type induced by long-range antiferromagnetic correlations.

Keywords: Hubbard Model; Exact Diagonalization; Magnetic Brillouin Zone; Quasiparticle Weight; Dimensional Hubbard Model (search for similar items in EconPapers)
Date: 2000
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DOI: 10.1007/978-3-642-59686-5_12

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