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Abstract <p>The influence of random disorder on melting in two-dimensional (2D) systems is investigated using computer simulation methods. These processes are primarily described using the Berezinskii–Kosterlitz–Thouless (BKT) phase transition theory, which is applied to 2D systems with continuous symmetry. It is shown that random disorder does not have a significant effect on the melting process if it occurs through two continuous BKT transitions with an intermediate hexatic phase. However, if melting occurs through a single first-order transition, disorder can dramatically change its character. Instead of one transition, two transitions occur: the first is the BKT transition from the crystal to the hexatic phase, while the second is the first-order transition from the hexatic phase to an isotropic liquid.</p>

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The Effect of Random Disorder on Two-Dimensional Melting Scenarios

  • 期刊论文

  • 发表日期：

    2025年6月1日

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  • V. N. Ryzhov,
  • E. E. Tareyeva,
  • Yu. D. Fomin,
  • E. N. Tsiok

摘要

Abstract

The influence of random disorder on melting in two-dimensional (2D) systems is investigated using computer simulation methods. These processes are primarily described using the Berezinskii–Kosterlitz–Thouless (BKT) phase transition theory, which is applied to 2D systems with continuous symmetry. It is shown that random disorder does not have a significant effect on the melting process if it occurs through two continuous BKT transitions with an intermediate hexatic phase. However, if melting occurs through a single first-order transition, disorder can dramatically change its character. Instead of one transition, two transitions occur: the first is the BKT transition from the crystal to the hexatic phase, while the second is the first-order transition from the hexatic phase to an isotropic liquid.