Abstract

Recently reported [C. Filipi\ifmmode \check{c}\else \v{c}\fi{} and A. Levstik, Phys. Rev. B 73, 092104 (2006)] and reinforced [J. F. Scott et al., J. Phys.: Condens. Matter 18, L205 (2006)] critical exponents $\ensuremath{\gamma}=1.0$ and $\ensuremath{\beta}=0.5$ of the isotope-substituted ferroelectric $\mathrm{Sr}\mathrm{Ti}^{18}\mathrm{O}_{3}$ are revisited and found to merely describe the mean-field region of this system. Careful evaluation of dielectric susceptibility and second harmonic generation data within the near-critical regime near to ${T}_{c}\ensuremath{\approx}24\phantom{\rule{0.3em}{0ex}}\mathrm{K}$ yields nonclassic effective exponents, $\ensuremath{\gamma}=1.65\ifmmode\pm\else\textpm\fi{}0.03$ and $\ensuremath{\beta}=0.21\ifmmode\pm\else\textpm\fi{}0.02$. Quantum corrections are relevant, albeit not crucial. Scaling relations and asymptotic criticality are discussed.

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