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<p>The critical properties of a three-dimensional anisotropic Heisenberg model in an external field has been simulated for the first time using an approach combining the Wang–Landau algorithm with machine learning methods, DBSCAN clustering, and principal component analysis. The threshold value of the parameter Δ<sub>c</sub> separating the regions of the decisive effect of uniaxial anisotropy has been determined.</p>

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Phase Transitions in Heisenberg Magnets Induced by Uniaxial Anisotropy: Wang–Landau and Machine Learning Simulations

  • 期刊论文

  • 发表日期：

    2025年8月1日

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  • D. A. Druz’ev,
  • A. A. Chubarova,
  • P. V. Prudnikov

摘要

The critical properties of a three-dimensional anisotropic Heisenberg model in an external field has been simulated for the first time using an approach combining the Wang–Landau algorithm with machine learning methods, DBSCAN clustering, and principal component analysis. The threshold value of the parameter Δc separating the regions of the decisive effect of uniaxial anisotropy has been determined.