Our review describes the physics governing the unusual heat conduction capabilities of carbon nanotubes and nanotube films and highlights the revolutionary experimental and theoretical strategies that have been developed to investigate these material systems.  We analyze the large volume of data and predictions obtained over the past fifteen years and attempt to separate the settled issues from the open questions. The time is right for a review of carbon nanotube thermal conduction.  This contribution fills an important gap in the literature, which at present lacks a current review dedicated to the extensive heat conduction research on this material system. Although several articles have previously reviewed thermal transport in carbon nanotubes, our review uniquely synthesizes the data from experimental, analytical, and modeling efforts for both individual nanotubes and thin film nanotube based materials. 

This review extends from Prof. Marconnet's PhD thesis research in the NanoHeat Lab at Stanford University.