We argue that the intrinsic glassy degrees of freedom in amorphous solids giving rise to the thermal conductivity plateau and the “boson peak” in the heat capacity at moderately low temperatures are directly connected to those motions giving rise to the two-level-like excitations seen at still lower temperatures. These degrees of freedom can be thought of as strongly anharmonic transitions between the local minima of the glassy energy landscape that are accompanied by ripplon-like domain wall motions of the glassy mosaic structure predicted to occur at T g by the random first-order transition theory. The energy spectrum of the vibrations of the mosaic depends on the glass transition temperature, the Debye frequency, and the molecular length scale. The resulting spectrum reproduces the experimental low-temperature boson peak. The “nonuniversality” of the thermal conductivity plateau depends on k B T g/ℏωD and arises from calculable interactions with the phonons.
Vassiliy Lubchenko and Peter G. Wolynes†
+ Author Affiliations
Department of Chemistry and Biochemistry, University of California at San Diego, La Jolla, CA 92093
Contributed by Peter G. Wolynes