Resilience of topological heterostructures to complete disorder in the link phase delays. We take the topological heterostructure of Figure2as the clean-limit case, and randomly shift the values of the phase delays(φ) in the range [0, 2π]. We perform wave transmission statistics over 200 realizations of phase disorder at each value of the scattering strength θ. In the bottom panel, the solid lines represent the average power transmission to port 2 (green) and 3 (blue), while the dashed lines are the first and last quartiles, Q1 and Q3. Three realizations of disorder are shown in the top panels, at θ = 0°, 35°, and 80°, confirming the resilience of the wave paths despite the presence of a high level of distributed phase disorder in the system.