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<p>As a simple physics model for crystal and quasicrystal formation, the Hertzian potential describes the interaction between two soft-core colloidal particles. However, explaining why quasicrystals emerge in such a minimal model remains a theoretical challenge. Here, using analytically exact approaches, we reveal multiple layers of hierarchical crystal patterns that serve as the energy ground states underlying quasicrystals found by computer simulations. Our findings offer a new perspective on quasicrystal formation.</p>

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Hierarchical ground-state crystals underlying Hertzian quasicrystals

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年11月25日

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  • Yao Li,
  • Yiwei Wang,
  • Yingke Geng,
  • Wenyu Liu,
  • Fangfu Ye,
  • Jeff Z. Y. Chen

摘要

As a simple physics model for crystal and quasicrystal formation, the Hertzian potential describes the interaction between two soft-core colloidal particles. However, explaining why quasicrystals emerge in such a minimal model remains a theoretical challenge. Here, using analytically exact approaches, we reveal multiple layers of hierarchical crystal patterns that serve as the energy ground states underlying quasicrystals found by computer simulations. Our findings offer a new perspective on quasicrystal formation.