Anderson localization in ruby

Abstract
The localization of the wave functions of the fluorescing levels in ruby and other exchange-coupled systems is discussed. It is pointed out that when the range of the interaction is less than the minimum distance between ions, as happens in ruby, the Anderson transition occurs near or above the nearest-neighbor critical percolation concentration. The role of off-diagonal dipolar interactions in establishing extended states is assessed. Dipolar effects are unimportant when the homogeneous linewidth exceeds the dipolar coupling between neighboring spins.