%0 Journal Article %T Optical probe of ferroelectric order in bulk and thin film perovskite titanates %A M. R£¿ssle %A C. N. Wang %A P. Marsik %A M. Yazdi-Rizi %A K. W. Kim %A A. Dubroka %A I. Marozau %A C. W. Schneider %A J. Huml¨ª£¿ek %A D. Baeriswyl %A C. Bernhard %J Physics %D 2013 %I arXiv %R 10.1103/PhysRevB.88.104110 %X We have measured the temperature dependence of the direct band gap, $E_g$, in SrTi$^{16}$O$_3$ and BaTiO$_3$ and related materials with quantum-paraelectric and ferroelectric properties using optical spectroscopy. We show that $E_g$ exhibits an anomalous temperature dependence with pronounced changes in the vicinity of the ferroelectric transition that can be accounted for in terms of the Fr\"ohlich electron-phonon interaction with an optical phonon mode, the so-called soft mode. We demonstrate that these characteristic changes of $E_g$ can be readily detected even in very thin films of SrTi$^{16}$O$_3$ with a strain-induced ferroelectric order. Optical spectroscopy thus can be used as a relatively simple but sensitive probe of ferroelectric order in very thin films of these titanates and probably also in subsequent multilayers and devices. %U http://arxiv.org/abs/1309.1245v1