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The Hubbard Model and Its Application to Conjugated π-Electron Systems

  • Dionys Baeriswyl
  • Eric Jeckelmann
Chapter
Part of the NATO ASI Series book series (NSSB, volume 343)

Abstract

When the inventors of the Hubbard model (Anderson, 1959; Hubbard, 1963; Gutzwiller, 1963; Kanamori 1963) proposed their simplified one-band Hamiltonian with only on-site interaction, they had in mind the d electrons in transition metals. More recently, the Hubbard model has been also advocated in the context of high-temperature superconductors (Anderson, 1988). However, it is a priori not obvious why a one-band model should be able to describe transition metal compounds with partly degenerate d bands, often hybridized with s and p states, and, in fact, there are examples where a single-band model fails to capture some important aspects (Kanamori, 1990). This question has been extensively discussed for the layered copper oxides. Several calculations indicate that in this case the one-band Hubbard model or the related t — J model do describe the low-lying charge and spin excitations (Zhang and Rice, 1988; Luo and Bickers, 1993), but the detailed mapping appears to be rather complicated (Meinders et al., 1993).

Keywords

Hubbard Model Wannier Function Double Occupancy Extended Hubbard Model Layered Copper Oxide 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media New York 1995

Authors and Affiliations

  • Dionys Baeriswyl
    • 1
  • Eric Jeckelmann
    • 1
  1. 1.Institut de Physique théoriqueUniversité, PérollesFribourgSwitzerland

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