system, such that $\text{g}^*\approx \text{g}^c$. Interestingly, as the persistence of the particles increases, the flocking and structural transitions decouple, leaving a wide area in the phase diagram where global polar order does not induce the formation of a macroscopic structure, as opposed to the liquid-gas picture of the flocking transition in Vicsek-like models with constant velocity [@Solon2015]. This suggests that, while correlated, a different mechanism governs the emergence of density heterogeneities and global polar order in our case. This translates into a richer scenario for structure formation than in apolar ABP systems or point-like self-propelled polar particles.

For large alignment, in the MC phase, the system is characterized by the presence of a macroscopic cluster. This structure can either be a *band*- or *lane*-like traveling structure (and usually a fluctuating mixture of both structures is observed). The difference between both, relies on the relative motion of the particles that form the structure with respect to the band geometry: for band-like structures, particles move orthogonally to the long-axis of the cluster (see Fig. \[fig:PhD\] (d)), as a propagating front, while for lanes, they move parallel to it (see Fig.\[fig:PhD\] (f)). While bands are generically found in systems of aligning self-propelled point-like 