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Lattice anisotropy creates a spin "mass," altering behavior from standard universality classes. Numerical analysis reveals anisotropic defect interactions leading to a polarized phase destruction, termed an "aster apocalypse." This study explores nonreciprocal planar spin models on various lattices.

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Area of Science:

  • Condensed Matter Physics
  • Statistical Mechanics
  • Nonlinear Dynamics

Background:

  • The nonreciprocal planar spin model is crucial for understanding collective behavior in various physical systems.
  • Previous studies, like Toner-Tu, established universality classes for similar models.
  • Lattice structure and anisotropy are known to influence emergent phenomena in spin systems.

Purpose of the Study:

  • To analytically and numerically investigate the nonreciprocal planar spin model on square and triangular lattices.
  • To determine the impact of lattice anisotropy on the model's large-scale behavior and universality class.
  • To analyze the dynamics and interactions of topological defects within the model's polar-ordered phase.

Main Methods:

  • Analytical examination of the spin model's properties.
  • Numerical simulations on square and triangular lattices.
  • Analysis of long-wavelength equal-time correlators.
  • Investigation of topological defect interactions and their impact on phase stability.

Main Results:

  • Lattice anisotropy induces a "mass" for the spin angle field, deviating from the Toner-Tu universality class.
  • Evidence of this mass is found numerically for large nonreciprocity parameters.
  • Anisotropic defect interactions were observed, shielding ±1 defect pairs and delaying annihilation.
  • This leads to the destruction of the polarized phase via an
  • aster apocalypse,
  • similar to findings in flocking models.

Conclusions:

  • The nonreciprocal planar spin model exhibits unique behavior driven by lattice anisotropy, not conforming to established universality classes.
  • Topological defect dynamics play a critical role in phase transitions, leading to novel pattern formation.
  • The findings suggest a broader applicability of these concepts to systems with anisotropic interactions and defect-mediated phase transitions.