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Emergent order in hydrodynamic spin lattices

Author

Listed:
  • Pedro J. Sáenz

    (University of North Carolina
    Massachusetts Institute of Technology)

  • Giuseppe Pucci

    (Massachusetts Institute of Technology
    Université de Rennes)

  • Sam E. Turton

    (Massachusetts Institute of Technology)

  • Alexis Goujon

    (Massachusetts Institute of Technology
    School of Engineering, École Polytechnique Fédérale de Lausanne)

  • Rodolfo R. Rosales

    (Massachusetts Institute of Technology)

  • Jörn Dunkel

    (Massachusetts Institute of Technology)

  • John W. M. Bush

    (Massachusetts Institute of Technology)

Abstract

Macroscale analogues1–3 of microscopic spin systems offer direct insights into fundamental physical principles, thereby advancing our understanding of synchronization phenomena4 and informing the design of novel classes of chiral metamaterials5–7. Here we introduce hydrodynamic spin lattices (HSLs) of ‘walking’ droplets as a class of active spin systems with particle–wave coupling. HSLs reveal various non-equilibrium symmetry-breaking phenomena, including transitions from antiferromagnetic to ferromagnetic order that can be controlled by varying the lattice geometry and system rotation8. Theoretical predictions based on a generalized Kuramoto model4 derived from first principles rationalize our experimental observations, establishing HSLs as a versatile platform for exploring active phase oscillator dynamics. The tunability of HSLs suggests exciting directions for future research, from active spin–wave dynamics to hydrodynamic analogue computation and droplet-based topological insulators.

Suggested Citation

  • Pedro J. Sáenz & Giuseppe Pucci & Sam E. Turton & Alexis Goujon & Rodolfo R. Rosales & Jörn Dunkel & John W. M. Bush, 2021. "Emergent order in hydrodynamic spin lattices," Nature, Nature, vol. 596(7870), pages 58-62, August.
  • Handle: RePEc:nat:nature:v:596:y:2021:i:7870:d:10.1038_s41586-021-03682-1
    DOI: 10.1038/s41586-021-03682-1
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    Cited by:

    1. Valani, Rahil N. & López, Álvaro G., 2024. "Quantum-like behavior of an active particle in a double-well potential," Chaos, Solitons & Fractals, Elsevier, vol. 186(C).

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