Unconventional thermal conductivity of suspended zigzag graphene nanomesh

Compared to the study of graphene itself, the study of nano-structured graphene is rather limited because it is difficult to prepare atomically ordered edges. In this study, we have fabricated a periodically patterned mesh structure of graphene with atomically precise zigzag edges (zGNM: zigzag graphene nanomesh) and studied its thermal conductivity ($κ$) by opto-thermal Raman measurement. Unintuitively, it is found that the $κ$ of zGNM of 2,3 monolayers (MLs) thick is inversely proportional to the nanoribbon width ($W$), while that of zGNM of 5$\sim$10 MLs thick is independent of $W$ down to 30 nm. Since the $κ$ of suspended zigzag graphene nanoribbons (zGNRs) is suppressed by decreasing $W$, this nonclassical behavior of zGNM is due to the mesh structure. In addition, zGNRs show a higher $κ$ than GNRs with atomically rough edges. This is probably due to the atomically ordered zigzag edges.