Optical probe of ferroelectric order in bulk and thin film perovskite titanates
M. R\"ossle, C. N. Wang, P. Marsik, M. Yazdi-Rizi, K. W. Kim, A., Dubroka, I. Marozau, C. W. Schneider, J. Huml\'i\v{c}ek, D. Baeriswyl, and C., Bernhard

TL;DR
This study uses optical spectroscopy to detect ferroelectric order in bulk and thin film perovskite titanates by observing temperature-dependent changes in the band gap related to the soft phonon mode.
Contribution
It demonstrates that optical spectroscopy can serve as a sensitive, non-invasive method to probe ferroelectric order even in very thin strained films of titanates.
Findings
Band gap exhibits anomalous temperature dependence near ferroelectric transition.
Changes in $E_g$ are linked to the soft phonon mode and electron-phonon interaction.
Optical spectroscopy effectively detects ferroelectric order in thin films.
Abstract
We have measured the temperature dependence of the direct band gap, , in SrTiO and BaTiO and related materials with quantum-paraelectric and ferroelectric properties using optical spectroscopy. We show that 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 can be readily detected even in very thin films of SrTiO 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.
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