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Inescapable Anisotropy of Nonreciprocal XY Models.

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This summary is machine-generated.

Nonreciprocal XY models on lattices exhibit long-range order, but lattice-induced anisotropy, generated by fluctuations, limits this order. The ordered phase is ultimately that of active clock models.

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Area of Science:

  • Statistical Mechanics
  • Condensed Matter Physics
  • Active Matter Physics

Background:

  • Nonreciprocal XY (NRXY) models introduce position-dependent coupling strengths.
  • Previous work established nonreciprocity's link to self-propulsion in similar systems.

Purpose of the Study:

  • Investigate the behavior of NRXY models on 2D lattices.
  • Characterize the ordered phase and its limitations.

Main Methods:

  • Derivation of a mean-field continuous theory.
  • Analysis of lattice-induced anisotropy and fluctuations.

Main Results:

  • NRXY models exhibit a metastable long-range ordered phase, similar to constant-density flocks.
  • The lattice inevitably induces anisotropy, limiting the correlation length.
  • Fluctuations generate inescapable anisotropy, even without explicit interaction rules.

Conclusions:

  • The ordered phase of lattice NRXY models is equivalent to active clock models.
  • Lattice effects fundamentally constrain order in these systems.