The ω3 scaling of the vibrational density of states in quasi-2D nanoconfined solids

Yuanxi Yu, Chenxing Yang, Matteo Baggioli (), Anthony E. Phillips, Alessio Zaccone, Lei Zhang, Ryoichi Kajimoto, Mitsutaka Nakamura, Dehong Yu and Liang Hong ()
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Yuanxi Yu: Shanghai Jiao Tong University
Chenxing Yang: Shanghai Jiao Tong University
Matteo Baggioli: Shanghai Jiao Tong University
Anthony E. Phillips: Queen Mary University of London
Alessio Zaccone: University of Milan
Lei Zhang: Shanghai Jiao Tong University
Ryoichi Kajimoto: Japan Atomic Energy Agency (JAEA)
Mitsutaka Nakamura: Japan Atomic Energy Agency (JAEA)
Dehong Yu: Australian Nuclear Science and Technology Organisation
Liang Hong: Shanghai Jiao Tong University

Nature Communications, 2022, vol. 13, issue 1, 1-10

Abstract: Abstract The vibrational properties of crystalline bulk materials are well described by Debye theory, which successfully predicts the quadratic ω2 low-frequency scaling of the vibrational density of states. However, the analogous framework for nanoconfined materials with fewer degrees of freedom has been far less well explored. Using inelastic neutron scattering, we characterize the vibrational density of states of amorphous ice confined inside graphene oxide membranes and we observe a crossover from the Debye ω2 scaling to an anomalous ω3 behaviour upon reducing the confinement size L. Additionally, using molecular dynamics simulations, we confirm the experimental findings and prove that such a scaling appears in both crystalline and amorphous solids under slab-confinement. We theoretically demonstrate that this low-frequency ω3 law results from the geometric constraints on the momentum phase space induced by confinement along one spatial direction. Finally, we predict that the Debye scaling reappears at a characteristic frequency ω× = vL/2π, with v the speed of sound of the material, and we confirm this quantitative estimate with simulations.

Date: 2022
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DOI: 10.1038/s41467-022-31349-6

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