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We address a number of issues regarding solid state electron electric dipolemoment (EDM) experiments, focusing on gadolinium iron garnet (abbreviated GdIG,chemical formula Gd$_3$Fe$_5$O$_{12}$) as a possible sample material. GdIGmaintains its high magnetic susceptibility down to 4.2 K, which enhances theEDM-induced magnetization of a sample placed in an electric field. We estimatethat lattice polarizability gives rise to an EDM enhancement factor ofapproximately 20. We also calculate the effect of the demagnetizing field forvarious sample geometries and permeabilities. Measurements of intrinsic GdIGmagnetization noise are presented, and the fluctuation-dissipation theorem isused to compare our data with the measurements of the imaginary part of GdIGpermeability at 4.2 K, showing good agreement above frequencies of a few hertz.We also observe how the demagnetizing field suppresses the noise-inducedmagnetic flux, confirming our calculations. The statistical sensitivity of anEDM search based on a solid GdIG sample is estimated to be on the same level asthe present experimental limit. Such a measurement would be valuable, given thecompletely different methods and systematics involved. The most significantsystematics in such an experiment are the magnetic hysteresis and themagneto-electric effect. Our analysis shows that it should be possible tocontrol these at the level of statistical sensitivity.

The prospects for a new search for the electron electric dipole moment in solid Gadolinium iron garnet ceramics