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

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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 $<d^{+}f>$-expectation value for vanishing hybridization $V$.
9 pages, 3 figures

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