https://doi.org/10.1140/epjb/e2006-00431-3
Ground states of an extended Falicov-Kimball model
1
Max-Planck-Institut für Festkörporforschung, Heisenbergstr. 1, 70569 Stuttgart, Germany
2
Department of Theoretical Physics, Institute of Advanced Studies, The Australian National University, Canberra, ACT, 0200, Australia
Corresponding author: a a.bussmann-holder@fkf.mpg.de
Received:
12
July
2006
Published online:
8
December
2006
We present a non-perturbative study of an extended Falicov-Kimball model in one dimension. Working within the binary alloy interpretation, we include the spin of the itinerant electrons and a Hubbard interaction to model the inter-electron correlations. We derive an effective Ising model for the atomic configuration in order to show how the Hubbard term affects the stability of the phase separated states. Furthermore, we investigate the competition between the Mott insulator state of the itinerant electrons and the checkerboard phase of the spinless Falicov-Kimball model.
PACS: 71.10.Fd – Lattice fermion models (Hubbard model, etc.) / 71.30.+h – Metal-insulator transitions and other electronic transitions
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2006