Manipulate Temperature Dependence of Thermal Conductivity of Graphene Phononic Crystal

By using non-equilibrium molecular dynamics simulations(NEMD), the modulation on temperature dependence of thermal conductivity of graphene phononic crystals (GPnCs) are investigated. It is found that the temperature dependence of thermal conductivity of GPnCs follows $T^{-\alpha}$ behavior. The power exponents ($\alpha$) can be efficiently tuned by changing the characteristic size of GPnCs. The phonon participation ratio spectra and dispersion relation reveal that the long-range phonon modes are more affected in GPnCs with larger size of holes ($L_0$). Our results suggest that constructing GPnCs is an effective method to manipulate the temperature dependence of thermal conductivity of graphene, which would be beneficial for developing GPnCs-based thermal management and signal processing devices.