Calculation of Modal Contributions to Heat Transfer across Si/Ge Interfaces

Using our newly proposed interface conductance modal analysis (ICMA) formalism, we study the modal contributions to thermal interface conductance (G ) across the interface of crystalline silicon and crystalline germanium. We present the accumulation functions of G at different temperatures and predict G as a function of temperature after proper quantum-corrections have been applied. Different classes of vibration are identified across the interface, among which interfacial modes are determined to have the highest per mode contribution to G . The results demonstrate the ability of ICMA in not only calculating the spectral contributions to G but exactly pinpointing the shape of each vibrational eigen state.