Extended Data Fig. 2: JGNR edge states counting.
From: Janus graphene nanoribbons with localized states on a single zigzag edge
Sketch of the defective edge of JGNR with different m value, which is mapped to the end of a large width AGNR with unit cell enclosed by the orange dashed curve that is commensurate with its termination on the left (the topological defect edge of interest). W is the number of carbon rows forming the length of the finite-size JGNR (which is equivalent to the number of carbon rows forming the width of the associated AGNR). \({W}_{{co}}\) and \({W}_{{notco}}\) are the number of connected and unconnected carbon pairs, respectively, in the unit cell of the wide AGNR. L is the number of repeat units along the width of the associated AGNR direction (i.e., \(L\) is number of unit cells forming the length of the finite-size ZGNR of physical interest), and the repeat unit is denoted by the area between the two grey dashed lines. The relationships between L and W, Wco and Wnotco are shown. a, A defect edge with m = 1. b, A defect edge with m = 2. c, A defect edge with m = 3. d, A regular zigzag edge. The repeat unit along the width of AGNR direction is a single benzene ring. These quantities are important in the calculation of Z index.
