(color online) Band results from ((a) and (c)) the common 2D-TB method (red lines) and ((b) and (d)) our 1D supercell method (blue lines) for aGNR supercell with a line defect for the cases of ((a) and (b)) N = 8, 2M = 4, and ((c) and (d)) N = 7, 2M = 4. In panel (d) the red lines denote the bands which need deducing.