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  • Letter
  • Open Access

Disorder-induced vibrational anomalies from crystalline to amorphous solids

Ling Zhang1,2, Yinqiao Wang2, Yangrui Chen2, Jin Shang2, Aile Sun2, Xulai Sun2, Shuchang Yu2, Jie Zheng2, Yujie Wang2 et al.

Walter Schirmacher3 and Jie Zhang2,4,*

  • 1School of Automation, Central South University, Changsha 410083, China
  • 2School of Physics and Astronomy, Shanghai Jiao Tong University, Shanghai 200240, China
  • 3Institut für Physik, Universität Mainz, Staudinger Weg 7, D-55099 Mainz, Germany
  • 4Institute of Natural Sciences, Shanghai Jiao Tong University, Shanghai 200240, China

  • *jiezhang2012@sjtu.edu.cn
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Phys. Rev. Research 3, L032067 – Published 16 September, 2021

DOI: https://doi.org/10.1103/PhysRevResearch.3.L032067

Abstract

The origin of the boson peak—an excess of the density of states over Debye's model in glassy solids—is still under intense debate, among which some theories and experiments suggest that the boson peak is related to a van-Hove singularity. Here we show that the boson peak and the van-Hove singularity are well separated entities by measuring the vibrational density of states of a two-dimensional granular system, where the packings are tuned gradually from a crystalline to polycrystalline structure and toward an amorphous material. We observe the coexistence of the boson peak and the van-Hove singularities being well separated in the polycrystals. The van-Hove singularities gradually shift to higher-frequency values while broadening their shape. They disappear completely when the structural disorder becomes sufficiently high. By analyzing the system at different degrees of disorder, we find that the boson peak is associated with spatially uncorrelated random flucutations of the shear modulus, whereas the smearing of the van-Hove singularities is associated with spatially correlated fluctuations of the shear modulus.

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Phys. Rev. Research 3, L032067– Published 16 September, 2021
  • Received 27 April 2021
  • Accepted 6 September 2021
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