Deriving the thermal conductivity of graphene

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SUMMARY

Deriving the thermal conductivity of graphene in the low temperature limit involves utilizing the phonon dispersion relation. The phonon dispersion relation provides critical insights into how phonons contribute to thermal transport in materials. Key references include the paper by Zou et al. and the Wikipedia page on thermal properties of nanostructures, which offer foundational knowledge and methodologies for this derivation. Understanding these concepts is essential for solid state physics applications.

PREREQUISITES
  • Phonon dispersion relation analysis
  • Solid state physics fundamentals
  • Thermal conductivity concepts
  • Graphene material properties
NEXT STEPS
  • Study the paper by Zou et al. for detailed methodologies on thermal conductivity derivation
  • Explore the Wikipedia page on thermal properties of nanostructures for broader context
  • Research the Boltzmann transport equation as it applies to phonon transport
  • Investigate low temperature thermal conductivity measurements in graphene
USEFUL FOR

Students and researchers in solid state physics, materials scientists, and anyone interested in the thermal properties of graphene and nanostructures.

gomboc
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How do I go about deriving the thermal conductivity of graphene (specifically, in the low temperature limit) when I'm given the phonon dispersion relation?

I haven't been able to find anything explaining how the dispersion relation relates to the thermal conductivity in materials. (this is for a solid state physics course)
 
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