Physical Review Letters 117 (2016) 075501.
Three-dimensional Icosahedral Phase Field Quasicrystal
P. Subramanian (1),
A.J. Archer (2),
E. Knobloch (3)
A.M. Rucklidge (1)
(1) Department of Applied Mathematics,
University of Leeds, Leeds, LS2 9JT, UK
(2) Department of Mathematical Sciences,
Loughborough University, Loughborough, Leicestershire, LE11 3TU, UK
(3) Department of Physics,
University of California, Berkeley, CA 94720-7300, USA
We investigate the formation and stability of icosahedral quasicrystalline
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 three-dimensional soft matter quasicrystal formation.
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Supplement Movie 2: 3D position of density maxima (4.3MB)
This paper is an Editors' Suggestion.
Priya Subramanian has written
on this work for The Conversation UK.