“…Nevertheless, the physics of light, sound, and mechanical wave propagation is fundamentally different than the one of electrons, and finding classical analogs to electronic topological insulators imply solving a certain number of challenges. Chern topological insulators [1-3, 11-14, 16, 43, 44, 47, 48, 50, 51, 53, 55], on one hand, require violating time-reversal (TR) symmetry, which implies to largely break reciprocity of wave propagation [59], a difficult task in linear photonic [60] or acoustic [61][62][63][64] systems. In addition, this usually involves the use of a time-odd external bias, such as a magnetic field, often leading to designs that require some form of external energy input, and an arguably challenging implementation.…”