Flexural phonons in supported graphene: from pinning to localization
arXiv:1712.09608 · doi:10.1038/s41598-018-34426-3
Abstract
We identify graphene layer on a disordered substrate as a possible system where Anderson localization of phonons can be observed. Generally, observation of localization for scattering waves is not simple, because the Rayleigh scattering is inversely proportional to a high power of wavelength. The situation is radically different for the out of plane vibrations, so-called flexural phonons, scattered by pinning centers induced by a substrate. In this case, the scattering time for vanishing wave vector tends to a finite limit. One may, therefore, expect that physics of the flexural phonons exhibits features characteristic for electron localization in two dimensions, albeit without complications caused by the electron-electron interactions. We confirm this idea by calculating statistical properties of the Anderson localization of flexural phonons for a model of elastic sheet in the presence of the pinning centers. Finally, we discuss possible manifestations of the flexural phonons, including the localized ones, in the electronic thermal conductance.
References in corpus (13)
- The structure of suspended graphene sheets
- Giant Intrinsic Carrier Mobilities in Graphene and Its Bilayer
- Anderson Transitions
- Atomic Structure of Graphene on SiO2
- High-Resolution Scanning Tunneling Microscopy Imaging of Mesoscopic Graphene Sheets on an Insulating Surface
- Intrinsic and extrinsic corrugation of monolayer graphene deposited on SiO2
- Spatially resolved spectroscopy of monolayer graphene on SiO2
- Electrostatic interactions between graphene layers and their environment
- Anomalous elasticity, fluctuations and disorder in elastic membranes
- Pinning of a two-dimensional membrane on top of a patterned substrate: the case of graphene
- Electron-phonon mediated heat flow in disordered graphene
- Non-Hookean statistical mechanics of clamped graphene ribbons
- Dephasing time in graphene due to interaction with flexural phonons