Electronic Ferroelectricity in the Falicov-Kimball Model

Details Electronic Ferroelectricity in the Falicov-Kimball Model Electronic Ferroelectricity in the Falicov-Kimball Model

2002-07-12

arxiv.org/abs/cond-mat/0207331v2

Phys. Rev. Lett. 89, 166403 (2002)

Physics

Condensed Matter

Strongly Correlated Electrons

4 pages

Scientific paper

10.1103/PhysRevLett.89.166403

I show that a spontaneous electric polarization is developed in the solution of the Falicov-Kimball model (FKM) by mapping the strong coupling limit of the model into an $xxz$ spin 1/2 model with a magnetic field. In this way, I can determine the phase diagram of the strongly interacting model that shows a transition to a mixed valence regime containing two phases: orbital ordering and Bose-Einstein condensation of excitons with a built in electric polarization. The results are extended to the intermeditate and weak coupling regimes.

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