Charge stripes due to electron correlations in the two-dimensional spinless Falicov-Kimball model

Details Charge stripes due to electron correlations in the two-dimensional spinless Falicov-Kimball model Charge stripes due to electron correlations in the two-dimensional spinless Falicov-Kimball model

2003-07-09

arxiv.org/abs/cond-mat/0307186v1

J. Stat. Phys. 116, 699--718 (2004)

Physics

Condensed Matter

Strongly Correlated Electrons

(34 pages, 9 figures, submitted to Journal of Statistical Physics to celebrate Elliott Lieb's 70th birthday)

Scientific paper

10.1023/B:JOSS.0000037213.25834.

We calculate the restricted phase diagram for the Falicov-Kimball model on a two-dimensional square lattice. We consider the limit where the conduction electron density is equal to the localized electron density, which is the limit related to the S_z=0 states of the Hubbard model. After considering over 20,000 different candidate phases (with a unit cell of 16 sites or less) and their thermodynamic mixtures, we find only about 100 stable phases in the ground-state phase diagram. We analyze these phases to describe where stripe phases occur and relate these discoveries to the physics behind stripe formation in the Hubbard model.

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