Gapless modes for (A) uniform gapped BLG, for (B) gapped BLG with an EFW, and for (C) gapped BLG with a LSW as depicted in Fig. 5. The yellow states localize on the outer zigzag boundary and they are doubly degenerate in B and C. The green states localize on the EFW in B and on the LSW in C. In C, the green (magenta) LSW states localize on the broken (continuous) layer. To illustrate these different cases, we chose the following parameter values: , , and .