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Preparation of Graphene-Supported Microwell Liquid Cells for In Situ Transmission Electron Microscopy
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Flexural phonons in supported graphene: from pinning to localization
Wei L Z Zhao1, Konstantin S Tikhonov2,3, Alexander M Finkel'stein1,4
1Department of Physics & Astronomy, Texas A&M University, College Station, TX, 77843-4242, USA.
Scientific Reports
|November 4, 2018
Summary
We found that graphene on disordered substrates allows observation of phonon localization. This occurs for flexural phonons due to unique scattering properties, offering insights into Anderson localization without electron interactions.
Area of Science:
- Condensed Matter Physics
- Materials Science
- Phononics
Background:
- Phonon localization is challenging to observe due to Rayleigh scattering's dependence on wavelength.
- Out-of-plane vibrations (flexural phonons) exhibit different scattering behavior.
Purpose of the Study:
- To identify a system for observing phonon localization.
- To investigate flexural phonon behavior in disordered systems.
- To explore Anderson localization in a simplified model.
Main Methods:
- Theoretical modeling of an elastic sheet with pinning centers.
- Calculation of statistical properties of flexural phonon localization.
- Analysis of scattering times and wave vector dependence.
Main Results:
- Graphene on a disordered substrate facilitates phonon localization.
- Flexural phonons show finite scattering times at vanishing wave vectors.
- The system mimics 2D electron localization without electron-electron interactions.
Conclusions:
- Graphene systems provide a unique platform for studying phonon localization.
- Flexural phonon localization offers a model for Anderson localization.
- Localized flexural phonons may impact electronic thermal conductance.
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