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Quasicrystal formation in binary soft matter mixtures

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journal contribution
posted on 21.08.2020, 09:45 by Alberto Scacchi, WRC Somerville, DMA Buzza, Andrew ArcherAndrew 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 lengthscales in certain particular ratios. How the lengthscales 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 lengthscales stem from the range of the interactions between pairs of big particles and from the cross big-small interactions, respectively. The small-small lengthscale 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.

Funding

Swiss National Science Foundation under Grant No. P2FRP2_181453

Self assembly of two dimensional colloidal alloys for metamaterials applications

Engineering and Physical Sciences Research Council

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Quasicrystals: how and why do they form?

Engineering and Physical Sciences Research Council

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History

School

  • Science

Department

  • Mathematical Sciences

Published in

Physical Review Research

Volume

2

Pages

032043

Publisher

American Physical Society

Version

VoR (Version of Record)

Publisher statement

This is an Open Access Article. It is published by American Physical Society under the Creative Commons Attribution 4.0 Unported Licence (CC BY). Full details of this licence are available at: http://creativecommons.org/licenses/by/4.0/

Acceptance date

23/07/2020

Publication date

2020-08-20

Copyright date

2020

Notes

8 pages, 5 figures

eISSN

2643-1564

Language

en

Depositor

Prof Andrew Archer. Deposit date: 21 August 2020

Article number

032043(R)

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