  We introduce for the first time a general model of biased-active particles,
where the direction of the active force has a biased angle from the principle
orientation of the anisotropic interaction between particles. We find that a
highly ordered living superlattice consisting of small clusters with dynamic
chirality emerges in a mixture of such biased-active particles and passive
particles. We show that the biased-propulsion-induced instability of
active-active particle pairs and rotating of active-passive particle pairs are
the very reason for the superlattice formation. In addition, a
biased-angle-dependent optimal active force is most favorable for both the
long-range order and global dynamical chirality of the system. Our results
demonstrate the proposed biased-active particle providing a great opportunity
to explore a variety of new fascinating collective behaviors beyond
conventional active particles.
