  We explore the emergence of nonequilibrium collective motion in disordered
non-thermal active matter when persistent motion and crowding effects compete,
using simulations of a two-dimensional model of size polydisperse
self-propelled particles. In stark contrast with monodisperse systems, we find
that polydispersity stabilizes a homogeneous active liquid at arbitrary large
persistence times, characterized by remarkable velocity correlations and
irregular turbulent flows. For all persistence values, the active fluid
undergoes a nonequilibrium glass transition at large density. This is
accompanied by collective motion, whose nature evolves from near-equilibrium
spatially heterogeneous dynamics at small persistence, to a qualitatively
different intermittent dynamics when persistence is large. This latter regime
involves a complex time evolution of the correlated displacement field
