Some review article on this topic

• Nanoscale heat transfer – from computation to experiment, 2013
• Advances in Studying Phonon MFP Dependent Contributions to Thermal Conductivity, 2015
• Advances in the measurement and computation of thermal phonon transport properties,2015
• Phonon thermal conduction in novel 2D materials, 2017
• Phononic thermal properties of two-dimensional materials, 2017
• Raman-based technique for measuring thermal conductivity of graphene and related materials

  Experimental techniques

• Confocal micro-Raman method
  • single-layer and few-layer graphene
  • 
• Thermal bridge method
  • multi-walled carbon nanotures
  • 

• Time-domain thermoreflectance method

• Scanning thermal microscope (SThM)

• 3 omega method

• thermal flash method

low dimensional materials

• nanowires
• CNT
• Graphene
• h-BN
• MoS2
• Black phosphorous
• Silicene

  interesting problems

• size dependent (converge or diverge)
• layer thickness dependence
• Strain effects
• substrate effects