Metal-Insulator and Superconductor-Insulator Transitions in Correlated Electron Systems

  • Masatoshi Imada
  • Fakher F. Assaad
  • Hirokazu Tsunetsugu
  • Yukitoshi Motome
Conference paper
Part of the Springer Series in Solid-State Sciences book series (SSSOL, volume 125)

Abstract

Quantum transitions between the Mott insulator and metals by controlling filling in two-dimensional square lattice are characterized by a large dynamical exponentz = 4 where the origin of unusual metallic properties near the Mott insulator are ascribed to the proximity of the transition. The scaling near the transition indicates the formation of flat dispersion area due to singular momentum dependence of the single-particle renormalization. The flat dispersion controls critical properties of the Mott transition. An instability of the flat dispersion to thed-wave superconducting order is discussed. We also discuss a case of the Mott transition for a model of Mn perovskite compounds with orbital degeneracy where orbital correlation length shows critical divergence toward the metal-insulator transition.

Keywords

Fermi Surface Hubbard Model Universality Class Localization Length Mott Transition 
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Copyright information

© Springer-Verlag Berlin Heidelberg 1999

Authors and Affiliations

  • Masatoshi Imada
    • 1
  • Fakher F. Assaad
    • 2
  • Hirokazu Tsunetsugu
    • 3
  • Yukitoshi Motome
    • 4
  1. 1.Institute for Solid State PhysicsUniversity of TokyoRoppongi, Minato-ku, TokyoJapan
  2. 2.Institut für Theoretische PhysikTeilinstitut III, Universität StuttgartStuttgartGermany
  3. 3.Institute of Applied PhysicsUniversity of TsukubaTsukuba, IbarakiJapan
  4. 4.Department of PhysicsTokyo Institute of TechnologyOh-okayama, Meguro-ku, TokyoJapan

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