Fig. 2: Spectra and local density of state of localized domain wall states.

a, b Electronic spectra and c, d local density of state (LDOS) of the AA-BA, AA-AB, and AA-BB domain wall states in the single-gap (double-gap) phase. Red, blue, and purple dots denote the AA-BA, AA-AB, and AA-BB domain wall states, respectively, while gray dots indicate the bulk spectra. In the single-gap phase, states 2 and 3 represent the in-gap domain-wall states, while states 1 and 4 do the hidden ones. The state 1 of the AA-BA domain wall in a and c is hard to distinguish, as discussed in the main text. In the double-gap phase, states 2–4 represent the in-gap domain-wall states, while state 1 does the hidden one. The LDOS plots show that all domain wall states are confined near the centers of the domain walls. The parameter sets (α/t, δ/t) are given by (0.44, 0.3) and (0.7, 0.3) for a, c and b, d, respectively. The inset above a shows the geometric configurations for AA-BA, AA-AB, and AA-BB domain wall states. The insets in b show the close-up of the states 2 and 3. In c, d, the color bar indicates the intensity of the LDOS.