ARCHER, A.J., RUCKLIDGE, A.M. and KNOBLOCH, E., 2013. Quasicrystalline order and a crystal-liquid state in a soft-core fluid. Physical Review Letters, 111, 165501, 5pp.
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.
This work was supported in part by the National Science Foundation under Grant No. DMS-1211953