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Emergent polar order in nonpolar mixtures with nonreciprocal interactions

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Pisegna,  Giulia       
Department of Living Matter Physics, Max Planck Institute for Dynamics and Self-Organization, Max Planck Society;

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Saha,  Suropriya       
Department of Living Matter Physics, Max Planck Institute for Dynamics and Self-Organization, Max Planck Society;

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Golestanian,  Ramin       
Department of Living Matter Physics, Max Planck Institute for Dynamics and Self-Organization, Max Planck Society;

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Citation

Pisegna, G., Saha, S., & Golestanian, R. (2024). Emergent polar order in nonpolar mixtures with nonreciprocal interactions. Proceedings of the National Academy of Sciences of the United States of America, 121(51): e2407705121. doi:10.1073/pnas.2407705121.


Cite as: https://hdl.handle.net/21.11116/0000-0010-5B50-E
Abstract
Emergent symmetries and the associated symmetry breaking can govern the dynamics of complex systems in unanticipated ways. In particular, novel phenomenology can emerge when composite units associated with emergent symmetries dominate the behavior of the system. Here, we prove that true long-range polar order can emerge in any dimension above one in a mixture of nonpolar active particles with nonreciprocal interactions, thereby exhibiting a conclusive violation of the celebrated Mermin–Wagner theorem. This conclusion is verified both at the linear level of the effective field theory that is built upon the naturally occurring soft modes of the system, and at the level of the full nonlinear theory in the context of a Renormalization Group framework.