Characterization of phonon density of states of a graphene junction beyond nearest neighbor interactions

Graphene has exceptional thermal properties that has presented a wide range of applications. Ballistic thermal transport in graphene due to phonons was made possible by placing a zigzag graphene junction in the middle of a heat sink and a heat source- which induced a temperature gradient that caused heat to flow through the junction. Following the harmonic oscillator model for the graphene junction, interlayer and intralayer interactions were derived beyond nearest neighbors.