“…TCIs are a class of topological quantum materials whose topological surface states are protected by mirror symmetry, unlike TIs, in which time-reversal symmetry protects their states. The topological surface state in a TCI allows an abundant physical nature as in TIs, and this nature can be controlled by mechanical strain, structural distortion, impurity doping, and temperature. − However, progress in the quest for the above-mentioned intriguing physical nature in TCIs has lagged behind that of TIs, and indeed, pioneering research on TCIs has been mainly limited to photoelectron spectroscopy − and scanning tunnelling microscopy. − The rock-salt structure IV–VI materials, Pb 1– x Sn x Te (PST), are a family of TCIs ,, (see Figure a) and host four massive or massless Dirac cones on their (001) surfaces that reflect ferroelectric displacements of atoms at the surfaces. ,, In line with the physics of the BCD, it is envisaged that the ferroelectric structural transition of PST gives rise to structural distortion that renders the BCD tunable and switchable for the following reason. Under the ferroelectric distortion, the mirror symmetry in PST breaks, resulting in opening gaps of the Dirac cones located perpendicular to the direction of ferroelectric distortion (Figure b,c).…”