Three-dimensional Phase Field Quasicrystals
P. Subramanian, A. J. Archer, E. Knobloch, A. M. Rucklidge
TL;DR
This paper explores the formation and stability of three-dimensional icosahedral quasicrystals using a phase field crystal model, identifying conditions for their energetic stability and formation traits.
Contribution
It introduces a model for 3D quasicrystal formation, analyzing phase diagrams and stability criteria, advancing understanding of soft matter quasicrystals in three dimensions.
Findings
Nonlinear interactions stabilize 3D quasicrystals
Phase diagram and parameter conditions identified
Traits promoting 2D quasicrystals are present in 3D
Abstract
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.
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