Magnetoelastic-magnetoelectric phase transitions in multiferroic BiFeO3
  Our measured dielectric constant and mechanical response of multiferroic BiFeO3 indicate four phase transitions below room temperature. Features correlate with those reported at 50K (from a peak in the zero-field-cooled magnetic susceptibility) and 230K (from splitting between field-cooled and zero-field-cooled magnetic data[1], and 200K (from magnon light scattering cross sections[2]). The primary order parameter is not the polarization in any of the low-T transitions. Instead, the transition near 230 K shows strong elastic coupling, while that at 50K is fundamentally magnetic, but magnetostrictively coupled to the the lattice. The low-T phase transitions display glassy behaviour. A further anomaly at 140K interpreted as spin reorientation[2,3] shows only weakly in dielectric and mechanical studies, indicating that it is predominantly magnetic with little coupling to any of the other order parameters. 
S. A. T. Redfern, C. Wang, J. W. Hong, G. Catalan, J. F. Scott