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    Assessing phonon coherence using spectroscopy

    Zhongwei Zhang1, Yangyu Guo2, Marc Bescond3, Masahiro Nomura4, Sebastian Volz1,5,*, and Jie Chen1,†

    • 1Center for Phononics and Thermal Energy Science, School of Physics Science and Engineering and China-EU Joint Laboratory for Nanophononics, Tongji University, Shanghai 200092, People's Republic of China
    • 2Institut Lumière Matière, Université Claude Bernard Lyon 1-CNRS, Université de Lyon, Villeurbanne 69622, France
    • 3IM2NP, UMR CNRS 7334, Aix-Marseille Université, Faculté des Sciences de Saint Jérôme, Case 142, 13397 Marseille Cedex 20, France
    • 4Institute of Industrial Science, The University of Tokyo, Tokyo 153-8505, Japan
    • 5Laboratory for Integrated Micro and Mechatronic Systems, CNRS-IIS UMI 2820, The University of Tokyo, Tokyo 153-8505, Japan

    • *volz@iis.u-tokyo.ac.jp
    • †jie@tongji.edu.cn

    Phys. Rev. B 107, 155426 – Published 24 April, 2023

    DOI: https://doi.org/10.1103/PhysRevB.107.155426

    Abstract

    As a fundamental physical quantity of thermal phonons, temporal coherence participates in a broad range of thermal and phononic processes, while a clear methodology for the measurement of phonon coherence is still lacking. In this paper, we derive a theoretical model for the experimental exploration of phonon coherence based on spectroscopy, which is then validated by comparing Brillouin light scattering data and direct molecular dynamic simulations of confined modes in nanostructures. The proposed model highlights that confined modes exhibit a pronounced wavelike behavior characterized by a higher ratio of coherence time to lifetime. The dependence of phonon coherence on system size is also demonstrated from the spectroscopy data. The proposed theory allows for reassessing the data of conventional spectroscopy to yield coherence times, which are essential for the understanding and the estimation of phonon characteristics and heat transport in solids in general.

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