Heat transfer in solids provides a window for scientific study of solid state physics, and also plays a pivotal role for a wide range of industry applications. Although it is a traditional research focus in mechanical engineering, study of heat transfer from materials scientists’ perspective would result in new discovery, insight and potential applications. In this talk, I will show our recent work on understanding novel charge dynamics of VO2 by investigating electronic thermal conductivity across its metal-insulator phase transition. An unusually low electronic thermal conductivity is found, and different from previously established conduction mechanisms, it is a signature of absence of quasiparticles in a strongly correlated electron fluid where heat and charge diffuse independently. Using similar approach to investigate heat transfer physics of layered materials, such as topological insulator Bi2Te3, and charge-density-wave TaS2, we gain insight and develop new understanding on the behavior of itinerant charge carriers in different material systems.