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- W1996589069 abstract "Dielectric susceptibilities are reported for $mathrm{K}{mathrm{Ta}}_{1ensuremath{-}x}{mathrm{Nb}}_{x}{mathrm{O}}_{3}$ and ${mathrm{K}}_{1ensuremath{-}y}{mathrm{Na}}_{y}mathrm{Ta}{mathrm{O}}_{3}$ mixed-crystal ferroelectrics with a Curie temperature ${T}_{C}$ close to absolute zero. According to the temperature range, the two following formulas are fitted to the experimental data: $ensuremath{epsilon}=A+frac{B}{[frac{1}{2}{T}_{1}ifmmodetimeselsetexttimesfi{}coth(frac{1}{2}frac{{T}_{1}}{T})ensuremath{-}{T}_{0}]}$ for $T>frac{1}{2}{T}_{1}$ and $ensuremath{epsilon}=A+B{T}^{ensuremath{-}2}$ for $T$, ${T}_{C}<~frac{1}{2}{T}_{1}$. This latter condition defines the quantum limit of a ferroelectric. Both formulas are obtained as limiting cases of a renormalized harmonic approximation of a model involving nonlinear polarizability of the oxygen shell. The constants $A$, $B$, ${T}_{1}$, and ${T}_{0}$ are explained in terms of model parameters. The leading term of the divergence of the susceptibility at the quantum limit coincides with the one obtained by the renormalization-group approach. Although renormalized harmonic approximation in general is bound to fail close to ${T}_{C}$, it gives valid results for the isolated (Gaussian) fixed point ${T}_{C}=0$." @default.
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- W1996589069 date "1980-07-01" @default.
- W1996589069 modified "2023-10-04" @default.
- W1996589069 title "Dielectric susceptibility in quantum ferroelectrics" @default.
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- W1996589069 doi "https://doi.org/10.1103/physrevb.22.359" @default.
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