Deriving the thermal conductivity of graphene

[gomboc]

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)

 

[rude man]

re you had more in mind than getting this, but ... it's a hairy subject!

http://ndl.ee.ucr.edu/jap-zou-1.pdf

http://en.wikipedia.org/wiki/Thermal_properties_of_nanostructures