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Quasicrystal formation in binary soft matter mixtures

Scacchi, A.; Somerville, W. R. C.; Buzza, D. M.A.; Archer, A. J.


A. Scacchi

W. R. C. Somerville

A. J. Archer



Using a strategy that may be applied in theory or in experiments, we identify the regime in which a model binary soft matter mixture forms quasicrystals. The system is described using classical density functional theory combined with integral equation theory. Quasicrystal formation requires particle ordering with two characteristic length scales in certain particular ratios. How the length scales are related to the form of the pair interactions is reasonably well understood for one-component systems, but less is known for mixtures. In our model mixture of big and small colloids confined to an interface, the two length scales stem from the range of the interactions between pairs of big particles and from the cross big-small interactions, respectively. The small-small length scale is not significant. Our strategy for finding quasicrystals involves tuning locations of maxima in the dispersion relation, or equivalently in the liquid state partial static structure factors.


Scacchi, A., Somerville, W. R. C., Buzza, D. M., & Archer, A. J. (2020). Quasicrystal formation in binary soft matter mixtures. Physical Review Research, 2(3), Article 032043(R).

Journal Article Type Article
Acceptance Date Jul 23, 2020
Online Publication Date Aug 20, 2020
Publication Date 2020-07
Deposit Date Sep 5, 2020
Publicly Available Date Sep 7, 2020
Journal Physical Review Research
Publisher American Physical Society
Peer Reviewed Peer Reviewed
Volume 2
Issue 3
Article Number 032043(R)
Keywords Soft matter; Statistical physics
Public URL
Publisher URL


Published article (1.5 Mb)

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Published by the American Physical Society under the terms of the
Creative Commons Attribution 4.0 International license. Further
distribution of this work must maintain attribution to the author(s)
and the published article’s title, journal citation, and DOI.

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