Abstract

By extending the soft-phonon theory, a model of quantum paraelectric (PE)-ferroelectric (FE) transition in SrTi 16 O 3 (STO16) is proposed on the analogy of the role of optical phonons in perovskite-like oxide superconductors. In spite of intrinsic quantum fluctuation of large zero-point vibration induced from light O-atoms, the ferroelectric transition due to the oxygen-isotope exchange ( 16 O 1 − x 18 O x ) is analyzed in a unified picture by combining with the applied pressure p (or uniaxial stress σ) effect. As the result, quantum PE-FE transition with the critical exponent γ = 1/2 at T c = 0 where the FE transition will start is explained in STO16-18 by the partial substitution of 18 O x . The calculated T c as the function of x is compared with the experimental data in rather good agreement, and furthermore, the origin of quantum paraelectricity is discussed in cubic perovskite-oxides SrTiO 3 from the viewpoint of the tolerance factor and in reference to the renormalization-group theory.

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