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Active fluids composed of constituents that are constantly driven away fromthermal equilibrium can support spontaneous currents and can be engineered tohave unconventional transport properties. Here we report the emergence of(meta-)stable traveling bands in computer simulations of aligning circleswimmers. These bands are different from polar flocks and we show that they canbe understood as non-dispersive soliton solutions of the underlying non-linearhydrodynamic equations with constant celerity (phase propagation speed) that ismuch larger than the propulsion speed. In contrast to solitons in passivemedia, these bands can induce a bulk particle current with a componentperpendicular to the propagation direction, thus constituting a collective Hall(or Magnus) effect. Traveling bands require sufficiently small orbits andundergo a discontinuous transition into a synchronized state with transientpolar clusters for large orbital radii.

Collective Hall current in chiral active fluids: Coupling of phase and mass transport through traveling bands