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Novel "smectic-P" behavior, in which self-propelled particles form rows andmove on average along them, occurs generically within theorientationally-ordered phase of simple models that we simulate. Both apolar(head-tail symmetric) and polar (head-tail asymmetric) models with aligning andrepulsive interactions exhibit slow algebraic decay of smectic order withsystem size up to some finite length scale, after which faster decay occurs. Inthe apolar case, this scale is that of an undulation instability of the rows.In the polar case, this instability is absent, but traveling fluctuationsdisrupt the rows in large systems and motion and smectic order mayspontaneously globally rotate. These observations agree with a new hydrodynamictheory which we present here. Variants of our models also exhibit activesmectic "A" and "C" order, with motion orthogonal and oblique to the layersrespectively.

Emergent smectic order in simple active particle models