EuTiO$_3$: a possible multiferroic material, structural, magnetic and dynamical characterization

Structural analogies between SrTiO$_{3}$ and EuTiO$_{3}$ suggest that other similarities exist, namely an oxygen octahedral rotational instability. This has been tested experimentally as well as theoretically by specific heat measurements [1], X-ray powder diffraction [2], EPR and $\mu $SR experiments [3], within the polarizability model and by ab initio calculations [4,5]. Earlier evidence for strong spin phonon coupling in EuTiO$_{3}$ [6] has been further explored for the high temperature instability at T$_{S}$ and is reflected in the magnetic field dependence of T$_{S}$ [7].\\[4pt] [1] A. Bussmann-Holder, J. K\"{o}hler, R. K. Kremer, J. M. Law, \textit{Phys. Rev. B} 2011, \textit{83,} 212102. [2] J. K\"{o}hler, R. Dinnebier, A. Bussmann-Holder, \textit{Phase Trans.} 2012, \textit{85,} 949. [3] Z. Guguchia, A. Shengelaya, H. Keller, J. K\"{o}hler, A.Bussmann-Holder, \textit{Phys. Rev. B} 2012, \textit{85,} 134113. [4] A. Bussmann-Holder, Z. Guguchia, J. K\"{o}hler, H. Keller, A Shengelaya, A. R. Bishop, \textit{New J. Phys.} 2012, \textit{14,} 093013. [5] J. L. Bettis, M.-H. Whangbo, J. K\"{o}hler, A. Bussmann-Holder, A. R. Bishop, \textit{Phys. Rev. B} 2011, \textit{84,} 184114. [6] T. Katsufuji, H. Takagi, \textit{Phys. Rev. B} 2001, \textit{64,} 054415. [7] Z. Guguchia, H Keller, J. K\"{o}hler, A. Bussmann-Holder, \textit{J. Phys.: Cond. Mat.} 2012, \textit{24,} 492201.