Physical Review Letters 111 (2013) 165501. doi:10.1103/PhysRevLett.111.165501

Quasicrystalline order and a crystal-liquid state in a soft-core fluid

A.J. Archer (1), A.M. Rucklidge (2) and E. Knobloch (3)

(1) Department of Mathematical Sciences, Loughborough University, Loughborough, Leicestershire, LE11 3TU, UK
(2) Department of Applied Mathematics, University of Leeds, Leeds, LS2 9JT, UK
(3) Department of Physics, University of California, Berkeley, CA 94720-7300, USA

Abstract. A two-dimensional system of soft particles interacting via a two-length-scale potential is studied. Density functional theory and Brownian dynamics simulations reveal a fluid phase and two crystalline phases with different lattice spacing. Of these the larger lattice spacing phase can form an exotic periodic state with a fraction of highly mobile particles: a crystal liquid. Near the transition between this phase and the smaller lattice spacing phase, quasicrystalline structures may be created by a competition between linear instability at one scale and nonlinear selection of the other.

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