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Hierarchical ground-state crystals underlying Hertzian quasicrystals
Yao Li1, Yiwei Wang2, Yingke Geng2
1School of Physics and Key Laboratory of Functional Polymer Materials of Ministry of Education, Nankai University, and Collaborative Innovation Center of Chemical Science and Engineering, Tianjin, China. liyao@nankai.edu.cn.
Nature Communications
|November 25, 2025
Summary
This study explains quasicrystal formation using a simple physics model. Hierarchical crystal patterns were found to be the energy ground states, offering new insights into quasicrystal emergence.
Area of Science:
- Condensed matter physics
- Materials science
- Crystallography
Background:
- The Hertzian potential models interactions between soft-core colloidal particles.
- Understanding quasicrystal formation within simple models is a theoretical challenge.
Purpose of the Study:
- To reveal the underlying mechanisms of quasicrystal formation in a minimal physics model.
- To identify hierarchical crystal patterns responsible for quasicrystal emergence.
Main Methods:
- Utilized analytically exact approaches.
- Analyzed energy ground states within the Hertzian potential model.
Main Results:
- Identified multiple layers of hierarchical crystal patterns.
- These patterns serve as energy ground states for quasicrystals.
- Findings align with patterns observed in computer simulations.
Conclusions:
- The study provides a new perspective on quasicrystal formation.
- Hierarchical crystal patterns are key to understanding quasicrystal emergence in simple models.
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