“…[1][2][3][4] In acoustics, the attempts to break the symmetry in sound propagation began with the emergence of acoustic diode that used nonlinearity to break the limitation of reciprocity, offering the possibility to design novel functional devices that only allowed acoustic wave to pass along one particular direction and may enable special application in various scenarios. [5,6] Later, different mechanisms were proposed for the purpose of further improving the performance of acoustic one-way devices by breaking the spatial symmetry instead of the time reversal symmetry, [7][8][9][10][11][12][13][14][15][16][17][18][19][20][21][22][23] giving rise to different designs featuring broad working bandwidths, [7,8,10,12,13,19,23] high forward transmission efficiencies, [7,8,11,12,14] compact sizes, [9,13,[15][16][17]20,22] planar profiles, [14][15][16]…”