English

Metal-Insulator Transitions in Degenerate Hubbard Models and A$_x$C$_{60}$

Condensed Matter 2009-10-22 v1

Abstract

Mott-Hubbard metal-insulator transitions in NN-fold degenerate Hubbard models are studied within the Gutzwiller approximation. For any rational filling with xx (integer) electrons per site it is found that metal-insulator transition occurs at a critical correlation energy Uc(N,x)=Uc(N,2Nx)=γ(N,x)ϵˉ(N,x)U_c(N,x)=U_c(N,2N-x)=\gamma(N,x)|\bar{\epsilon}(N,x)|, where ϵˉ\bar{\epsilon} is the band energy per particle for the uncorrelated Fermi-liquid state and γ(N,x)\gamma(N,x) is a geometric factor which increases linearly with xx. We propose that the alkali metal doped fullerides AxC60A_xC_{60} can be described by a 3-fold degenerate Hubbard model. Using the current estimate of band width and correlation energy this implies that most of AxC60{\rm A_xC_{60}}, at integer xx, are Mott-Hubbard insulators and A3C60{\rm A_3C_{60}} is a strongly correlated metal.

Keywords

Cite

@article{arxiv.cond-mat/9306025,
  title  = {Metal-Insulator Transitions in Degenerate Hubbard Models and A$_x$C$_{60}$},
  author = {Jian Ping Lu},
  journal= {arXiv preprint arXiv:cond-mat/9306025},
  year   = {2009}
}

Comments

10 pages, Revtex