Effect of Edge Modifications to Flat Bands in Graphene Nanoribbons with Multiple Periodicity

抄録

We study the electronic states of graphene nanoribbons whose edge structures are modified in the manner that Klein’s bearded bonds are periodically distributed. In the triply periodic system, complete flat bands are obtained in the case that two Klein’s bonds are attached to edge per unit cell. However, there is no flat band in one Klein’s bond case. We discuss the existence of flat bands in the triple periodicity system in relation to the linkage between wavefunctions; the analytic expression of the wavefunction is consecutively derived by the transfer matrix method.