Direct evidence of soft mode behavior near the Burns' temperature in PbMg${}_{1/3}$Nb${}_{2/3}$O${}_3$ (PMN) relaxor ferroectric

Abstract

Inelastic neutron scattering measurements of the relaxor ferroelectric PbMg${}_{1/3}$Nb${}_{2/3}$O${}_3$ (PMN) in the temperature range 490~K$<$T$<$880~K directly observe the soft mode (SM) associated with the Curie-Weiss behavior of the dielectric constant $\epsilon$(T). The results are treated within the framework of the coupled SM and transverse optic (TO1) mode and the temperature dependence of the SM frequency at q=0.075 a* is determined. The parameters of the SM are consistent with the earlier estimates and the frequency exhibits a minimum near the Burns temperature ($\approx$ 650K)

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