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    Continuum model for the terahertz dielectric response of glasses

    Tatsuya Mori1,*, Hideyuki Mizuno2, Yuzuki Motokawa1, Dan Kyotani1, Soo Han Oh1, Yasuhiro Fujii3,4, Akitoshi Koreeda5, Shinji Kohara6, and Seiji Kojima1

    • *Contact author: mori@ims.tsukuba.ac.jp

    Phys. Rev. B 114, 074205 – Published 27 August, 2026

    DOI: https://doi.org/10.1103/sjkh-zd6t

    Abstract

    Boson peak dynamics in glasses produce a robust crossover in the terahertz (THz) dielectric response that standard Debye or Lorentz models do not capture. We develop a continuum description of this THz response, coupling an infrared-effective charge fluctuation spectrum to a frequency-dependent shear modulus, and apply it to glycerol glass. The model reproduces the measured complex dielectric function and the nearly linear infrared light-vibration coupling around the boson peak, and it highlights the dominant role of transverse shear dynamics.

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