Paramagnetic tunneling state concept of the low-temperature magnetic anomalies of multicomponent insulating glasses

A generalized tunneling model of multicomponent insulating glasses is formulated, considering tunneling states to be paramagnetic centers of the electronic hole type. The expression for magnetic field dependent contribution into the free energy is obtained. The derivation is made of the expression for the nonmonotonic magnetic field dependence of dielectric susceptibility, recently observed in amorphous BaO-Al_2O_3-SiO_2 in sub-Kelvin temperature range.