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Energy input by under-field rotation of particles drives the systems toemergent non-equilibrium states. Here we investigate the suspension of rotatingmagnetic cubes. Micron-sized hematite cubes are synthesized and observedmicroscopically. When exposed to a rotating magnetic field, they form rotatingswarms that interact with each other like liquid droplets. We describe theswarming behaviour and its limits and characterize swarm size and angularvelocity dependence on magnetic field strength and frequency. A quantitativeagreement with a theoretical model is found for the angular velocity of swarmsas a function of field frequency. It is interesting to note that hematiteparticles with peanut or ellipsoidal shapes do not form swarms.

Swarming of micron-sized hematite cubes in a rotating magnetic field -- Experiments