Abstract
The order parameters which are induced in dysprosium aluminum garnet (DyAlG) by a direct magnetic field have been studied using group-theoretical techniques. We find seven order parameters which are induced by the field both above and below the transition. Four of these order parameters involve magnetic moments along local hard directions, and they represent deviations from the ideal Ising-like behavior of DyAlG. The results of the neutron-scattering experiment of Corliss and Hastings, obtained with magnetic field along the [111], [100], and [110] directions are discussed, and several experiments are suggested.