View article

Following the discovery of the quantum Hall effect^, and topological insulators^,, the topological properties of classical waves began to draw attention^{,,,,,,,,,,,,,,,,}. Topologically non-trivial bands characterized by non-zero Chern numbers are realized through either the breaking of time-reversal symmetry using an external magnetic field^,,,, or dynamic modulation^,. Owing to the absence of a Faraday-like effect, the breaking of time-reversal symmetry in an acoustic system is commonly realized with moving background fluids^,, which drastically increases the engineering complexity. Here we show that we can realize effective inversion symmetry breaking and create an effective gauge flux in a reduced two-dimensional system by engineering interlayer couplings, achieving an acoustic analogue of the topological Haldane model^,. We show that the synthetic gauge flux is closely related to Weyl points^,, in the three-dimensional …