Title: Non-reciprocal alignment induces asymmetric clustering in active repulsive mixtures

Abstract: Heterogeneity is a ubiquitous feature in many biological and synthetic active matter systems that are inherently out of equilibrium. In addition to conservative interactions between active constituents, a non-equilibrium environment often induces effective non-reciprocal (NR) couplings. The full consequences, especially for systems with order parameters of different symmetries, still remain elusive. Here, we study a minimal active NR mixture exhibiting both, polar ordering and clustering using a combination of hydrodynamic theory, linear stability analysis, particle-based simulations and fluctuation analysis. We show that NR alignment interactions have profound influence on the density dynamics already far below the threshold related to spontaneous time dependency of polarization dynamics. In particular, NR alignment alone induces asymmetrical clustering, and thus, partial demixing with single-species clusters chasing more dilute accumulations of the other species. Extremely large NR alignment eventually leads to a disappearance of clustered states.