4.6 Article

Flexural mode of graphene on a substrate

Journal

PHYSICAL REVIEW B
Volume 88, Issue 11, Pages -

Publisher

AMER PHYSICAL SOC
DOI: 10.1103/PhysRevB.88.115418

Keywords

-

Funding

  1. Fundacao para a Ciencia e a Tecnologia, Portugal [SFRH/BD/78987/2011]
  2. MINECO, Spain [FIS2011-23713]
  3. European Research Council [290846]
  4. Fundação para a Ciência e a Tecnologia [SFRH/BD/78987/2011] Funding Source: FCT

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Out of plane vibrations are suppressed in graphene layers placed on a substrate. These vibrations, in suspended samples, are relevant for the understanding of properties such as the electrical resistivity, the thermal expansion coefficient, and others. We use a general framework to study the properties of the out of plane mode in graphene on different substrates, taking into account the dynamics of the substrate. We discuss broadening of this mode and how it hybridizes with the substrate Rayleigh mode, comparing our model with experimental observations. We use the model to estimate the substrate induced changes in the thermal expansion coefficient and in the temperature dependence of the electrical resistivity.

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