  Using nonequilibrium molecular dynamics simulations, we study the heat
conduction in graphene flakes composed by two regions. One region is
mass-loaded and the other one is intact. It is found that the mass interface
between the two regions greatly decreases the thermal conductivity, but it
would not bring thermal rectification effect. The dependence of thermal
conductivity upon the heat flux and the mass difference ratio are studied to
confirm the generality of the result. The interfacial scattering of solitons is
studied to explain the absence of rectification effect.
