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Disordered systems exhibit universal excitation, referred to as the bosonpeak, in the terahertz region. Meanwhile, the so-called fracton is expected toappear in the nanoscale region owing to the self-similar structure of monomersin polymeric glasses. We demonstrate that such excitations can be detectedusing terahertz spectroscopy. For the interaction between terahertz light andthe vibrational density of states of the fractal structure, we formulate aninfrared light-vibration coupling coefficient for the fracton region.Accordingly, we show that information concerning fractal and fracton dimensionsappears in the exponent of the absorption coefficient. Finally, using terahertztime-domain spectroscopy and low-frequency Raman scattering, we experimentallyobserve these universal excitations in a protein lysozyme system that has anintrinsically disordered and self-similar nature in a single supramolecule.These findings are applicable to disordered and polymeric glasses in generaland will be key to understanding universal dynamics of disordered systems byterahertz light.

Detection of boson peak and fractal dynamics of disordered system using terahertz spectroscopy