Glasses exhibit surprising low-temperature properties caused by the tunneli
ng motion of small atomic clusters. We report here on recent dielectric mea
surements on a glass with the components BaO-Al2O3-SiO2. In contrast to exp
ectation, below 100 mK the dielectric properties become sensitive to weak m
agnetic fields. In this temperature range dielectric constant and dielectri
c loss show an oscillatory behavior with increasing magnetic held. Below 6
mK a phase transition within the ensemble of tunneling systems is observed.
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