Molecule formation and the Farey tree in the one-dimensional Falicov-Kimball model

@article{Gruber1994MoleculeFA,
  title={Molecule formation and the Farey tree in the one-dimensional Falicov-Kimball model},
  author={Ch. Gruber and Daniel Ueltschi and Jerzy Jedrzejewski},
  journal={Journal of Statistical Physics},
  year={1994},
  volume={76},
  pages={125-157}
}
  • Ch. Gruber, Daniel Ueltschi, Jerzy Jedrzejewski
  • Published 1994
  • Physics
  • Journal of Statistical Physics
  • The ground-state configurations of the one-dimensional Falicov-Kimball model are studied exactly with numerical calculations revealing unexpected effects for small interaction strength. In neutral systems we observe molecular formation, phase separation, and changes in the conducting properties; while in nonneutral systems the phase diagram exhibits Farey tree order (Aubry sequence) and a devil's staircase structure. Conjectures are presented for the boundary of the segregated domain and the… CONTINUE READING