Does the Falicov-Kimball model allow for a ferroelectric ground state with a spontaneous polarization?

Details Does the Falicov-Kimball model allow for a ferroelectric ground state with a spontaneous polarization? Does the Falicov-Kimball model allow for a ferroelectric ground state with a spontaneous polarization?

1998-11-26

arxiv.org/abs/cond-mat/9811375v1

Physics

Condensed Matter

Strongly Correlated Electrons

9 pages, 3 figures

Scientific paper

The extrapolation of small-cluster exact-diagonalization calculations is used to examine the possibility of electronic ferroelectricity in the one dimensional spinless and spin-one-half Falicov-Kimball model (FKM). It is found that neither spinless nor spin-one-half version of the FKM does not allow for a ferroelectric ground state with a spontaneous polarization, i.e. there is no nonvanishing $$-expectation value for vanishing hybridization $V$.

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