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We consider the rich variety of collective motion patterns emerging whenaligning active particles move in the presence of randomly distributedobstacles - representing quenched noise in two dimensions. In order to getinsight into the involved complex flows and the transitions between them we usea simple model allowing the observation and analysis of behaviors that are lessstraightforwardly accessible by experiments or analytic calculations. We find aseries of symmetry breaking states in spite of the applied disorder beingisotropic. In particular, as the level of perturbations is increased, thesystem of self-propelled particles changes its collective motion patterns fromi) directed flow ii) through a mixed state of locally directed or locallyrotating flow to iii) a novel, globally synchronized rotating state thereby thesystem violating overall chiral symmetry. Finally, this phase crosses over to astate in which iv) clusters of locally synchronized rotations are observed. Theway of change from polar flow to overall synchronization can be interpreted asindicating a non-reciprocal phase transition. Our simulations suggest that whenboth present, quenched rather than shot noise dominates the behaviors.

Emergence of synchronised rotations in dense active matter with disorder