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BaFe12O19 is a popular M-type hexaferrite with T(Neel) = 720 K of enormouscommercial value (3 billion dollars/year). It exhibits an incipientferroelectric phase transition (in violation of the Spaldin-Hill rule)extrapolated to lie at 6.0 K Kelvin but suppressed due to quantum fluctuations(as in SrTiO3). The QCP theory of Khmelnitskii for such uniaxial ferroelectricspredicts that the inverse isothermal electric susceptibility varies as T cubed,in contrast to that for pseudo-cubic materials such as SrTiO3 or KTaO3, ahypothesis we verify.

Quantum Critical Point study in Multiferroic Hexaferrites: BaFe12O19, SrFe12O19, and PbFe3Ga9O19 -- Verification of the Khmelnitskii Theory