title: Three-Dimensional Icosahedral Phase Field Quasicrystal.
abstract: 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.
authors: Department of Applied Mathematics, University of Leeds, Leeds LS2 9JT, United Kingdom.
authors: P
authors: P
authors: Subramanian
authors: Department of Mathematical Sciences, Loughborough University, Loughborough LE11 3TU, United Kingdom.
authors: A J
authors: AJ
authors: Archer
authors: Department of Physics, University of California at Berkeley, Berkeley, California 94720, USA.
authors: E
authors: E
authors: Knobloch
authors: Department of Applied Mathematics, University of Leeds, Leeds LS2 9JT, United Kingdom.
authors: A M
authors: AM
authors: Rucklidge