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This study explores crystal lattice transitions in 2D systems, revealing a high-density quasicrystalline phase with 12-fold symmetry. The findings enhance understanding of quasicrystal formation mechanisms in materials science.

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Area of Science:

  • Condensed Matter Physics
  • Materials Science
  • Crystallography

Background:

  • Studying phase transitions in 2D systems with complex interactions is crucial for understanding material properties.
  • Core-softened potentials allow for intricate local configurations and complex crystal structures.

Purpose of the Study:

  • To investigate the transition from square to hexagonal lattices in a 2D system with a core-softened potential.
  • To generalize an interpolation method for calculating pair correlations in multi-particle unit cell crystals.
  • To explain the physical mechanism behind the formation of a high-density quasicrystalline phase.

Main Methods:

  • Generalization of an interpolation method for pair correlation calculations.
  • Molecular dynamics simulations to observe lattice behavior under heating.
  • Development of a theoretical model to explain energy minimization through local configuration changes.

Main Results:

  • The snub square lattice breaks upon heating, forming a high-density quasicrystalline phase (HD12) with 12-fold symmetry.
  • A theoretical model explains the transition based on changes in local configurations and energy minimization.
  • A calculated phase diagram confirms a cascade of first-order transitions: square - HD12 - hexagonal.

Conclusions:

  • The study elucidates the formation mechanism of quasicrystals, particularly the HD12 phase.
  • The generalized interpolation method is efficient for complex crystal structures.
  • Results offer insights into materials science and soft matter physics, particularly concerning phase transitions and quasicrystal formation.