Abstract
The nonlinear nature of the acoustic response of metallic glasses at very low temperatures, which has defied a satisfactory theoretical description until now, is explained in terms of the tunneling model by the intrinsically nonlinear response of two-level systems to an external force. Recent advances in the systematic theoretical treatment of this nonlinear response including the effect of Ohmic dissipation are used in a detailed model, with special emphasis on vibrating-reed experiments. The apparent contradiction between the assumptions of the tunneling model and experimental results is naturally reconciled when a valid theory is substituted for the linear response approximation. Our results are in quantitative agreement with experimental data for both sound velocity and acoustic absorption.
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