“…These results reproduce our ab initio calculation results very well. The electronic structure of nanoscale carbon materials such as fullerenes and carbon nanotubes has been the subject of intensive research during the past two decades [1] because of fundamental scientific interest in nanomaterials and because of their versatile electronic properties that are expected to be important for future nanoelectronics [2,3]. Among the carbon nanostructures, a simple variation of graphene, ribbons with nanometer sized widths, has been studied extensively [4,5,6,7,8,9,10,11,12,13,14,15].…”