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Nonreciprocal Interactions Reshape Topological Defect Annihilation.

Ylann Rouzaire1,2,3, Daniel J G Pearce4, Ignacio Pagonabarraga1,2

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Summary
This summary is machine-generated.

Nonreciprocal ferromagnetic interactions in 2D spin systems twist spin fields, making defect shape critical for dynamics. This nonreciprocity alters defect annihilation, enhancing or hindering it based on shape and interaction strength.

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Area of Science:

  • Condensed Matter Physics
  • Statistical Mechanics
  • Topological Defects

Background:

  • Topological defects are crucial in understanding phase transitions and material properties.
  • The two-dimensional XY model is a fundamental model for studying magnetic systems.
  • Ferromagnetic interactions typically assume reciprocal coupling between spins.

Purpose of the Study:

  • To investigate the impact of nonreciprocal ferromagnetic interactions on topological defects in a 2D spin system.
  • To explore how defect shape influences dynamics when nonreciprocity is introduced.
  • To develop a continuous description for the lattice model behavior.

Main Methods:

  • Introducing nonreciprocity by weighting the coupling strength of the 2D XY model with an anisotropic kernel.
  • Analyzing the role of defect shape beyond topological charge (q) in defect dynamics.
  • Developing a continuous description with phenomenological coefficients linked to microscopic parameters.

Main Results:

  • Nonreciprocal coupling twists the spin field, favoring specific defect shapes.
  • Defect shape becomes as important as topological charge for describing dynamics.
  • The pair annihilation process of defects is significantly altered by nonreciprocity.
  • Annihilation can be enhanced or hindered depending on defect shape and nonreciprocity degree.

Conclusions:

  • Nonreciprocal interactions fundamentally change the dynamics of topological defects in 2D spin systems.
  • Defect shape is a key factor in annihilation processes under nonreciprocal conditions.
  • The developed continuous description accurately captures the lattice model's behavior.