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Topological Order Generated by a Random Field in a 2D Exchange Model.

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Static randomness transforms 2D ferromagnetic materials into a Skyrmion-anti-Skyrmion glass. This occurs as ferromagnetic correlations persist on the Imry-Ma scale, with energy matching Skyrmion states.

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Area of Science:

  • Condensed matter physics
  • Statistical mechanics

Background:

  • Understanding the impact of disorder on magnetic systems is crucial.
  • Previous studies explored random fields, but the transformation into topological glassy states remains less understood.

Purpose of the Study:

  • To investigate the effects of weak static random fields on a 2D ferromagnetic exchange model.
  • To characterize the emergent topological properties and correlation functions.

Main Methods:

  • Simulations on lattices with over 10^8 spins.
  • Analysis of ferromagnetic correlations and topological charge density.
  • Calculation of correlation functions and their Fourier transforms.

Main Results:

  • Ferromagnetic correlations persist on the Imry-Ma scale, inversely proportional to random-field strength.
  • Correlated areas exhibit energy near Skyrmion ground states and topological charge ±1.
  • Topological charge density correlations change sign at a distance defined by the correlation length.

Conclusions:

  • Static randomness induces a phase transition in 2D ferromagnetic systems.
  • The system transforms into a Skyrmion-anti-Skyrmion glass state.
  • Topological properties play a key role in the behavior of disordered magnetic systems.