Hyperuniform Aperiodic Materials
Pioneering Functions through Control of
Vast Potential Structural Degrees of Freedom

New Solid-State Physics Pioneered by Hyperuniformity

Hyperuniformity (HU) [1,2] is a general framework to classify and quantify the regularity of point distributions in a space. We aim to develop the HU idea in solid-state physics. In solids like (periodic) crystals, the atoms are neatly arranged, whereas in other materials like glass, they are disordered (aperiodic materials). HU provides a unified way of understanding these different types of structures by examining how uniformly distributed the atoms are overall.

If atoms are randomly distributed, there will be dense and sparse regions. However, in hyperuniform materials, this density variation is markedly suppressed, indicating a kind of hidden order.

By applying this idea, we aim to find new types of aperiodic materials and explore their properties. For example, it will be possible to find and design novel materials with unique electrical, magnetic, or mechanical properties.

Thus, HU can be thought of as a key to unlocking the order hidden in aperiodic materials and unraveling their properties.

[1] S. Torquato and F. H. Stillinger, Physical Review B 68, 041113 (2003).

[2] S. Torquato, Physics Reports 745, 1 (2018)

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