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Three-dimensional icosahedral phase field quasicrystal

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journal contribution
posted on 2016-03-21, 14:35 authored by Priya Subramanian, Andrew ArcherAndrew Archer, Edgar Knobloch, Alastair M. Rucklidge
We investigate the formation and stability of icosahedral quasicrytalline structures using a dynamic phase field crystal model. Nonlinear interactions between density waves at two length scales stabilize three-dimensional quasicrystals. We determine the phase diagram and parameter values required for the quasicrystal to be the global minimum free energy state. We demonstrate that traits that promote the formation of two-dimensional quasicrystals are extant in three dimensions, and highlight the characteristics required for 3D soft matter quasicrystal formation.

History

School

  • Science

Department

  • Mathematical Sciences

Published in

Physical Review Letters

Volume

117

Issue

7

Citation

SUBRAMANIAN, P. ... et al, 2016. Three-dimensional icosahedral phase field quasicrystal. Physical Review Letters 117 (7), 075501.

Publisher

© American Physical Society

Version

  • AM (Accepted Manuscript)

Publisher statement

This work is made available according to the conditions of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0) licence. Full details of this licence are available at: https://creativecommons.org/licenses/by-nc-nd/4.0/

Publication date

2016-08-08

Notes

This paper was accepted for publication in the journal Physical Review Letters and the definitive published version is available at http://dx.doi.org/10.1103/PhysRevLett.117.075501

ISSN

0031-9007

eISSN

1079-7114

Language

  • en

Article number

075501

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