Abstract
Control of heat transport in materials is extremely important for advanced applications in hyper-sound and heat control, acoustic and thermal cloaking, thermal diodes etc. However, for such applications, the realization of terahertz frequency band gaps is highly desired. In this report, finite element simulation, with continuum approximation is utilized to induce phononic band gaps (PnBG) in graphene phononic crystals (GPnC). The cross-shaped hole structure results show that the PnBG depends on the size of the pitch and neck of the GPnC, showing higher frequency band gaps at a smaller pitch size and more PnBG with decreasing neck size. The PnBG was most strengthened at single nanometer neck size, and was completely lost at 10 nm neck size. Furthermore, circular-hole and square-hole shaped structures did not exhibit any PnBG for 25 nm pitch size.
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