Progress towards an electron electric dipole moment search in Europium-Barium Titanates

We report on recent progress on a search for the electron's electric dipole moment (eEDM) using solid- state Eu$_{0.5}$Ba$_{0.5}$TiO$_3$. This material has many desirable properties including ferroelectricity below $200\mbox{ K}$ and paramagnetism above $1.8\mbox{ K}$. When the sample has a non-zero electric polarization, the seven unpaired $4f$ electrons of the Eu$^{2+}$ ions in the lattice feel a large effective electric field of order $10\mbox{ MV/cm}$ in the direction of the polarization. This causes the electron spins to align with the electric polarization and generate a magnetization, which is measured using DC SQUID magnetometers. We will detail measurements of systematic effects along with recent results toward a measurement of the eEDM.