Infinite-pressure phase diagram of binary mixtures of (non)additive hard disks

Abstract

One versatile route to the creation of two-dimensional crystal structures on the nanometer to micrometer scale is the self-assembly of colloidal particles at an interface. Here, we explore the crystal phases that can be expected from the self-assembly of mixtures of spherical particles of two different sizes, which we map to (additive or non-additive) hard-disk mixtures. We map out the infinite-pressure phase diagram for these mixtures, using Floppy Box Monte Carlo simulations to systematically sample candidate crystal structures with up to 12 disks in the unit cell. As a function of the size ratio and number ratio of the two species of particles, we find a rich variety of periodic crystal structures. Additionally, we identify random tiling regions to predict random tiling quasicrystal stability ranges. Increasing non-additivity both gives rise to additional crystal phases and broadens the stability regime for crystal structures involving a large number of large-small contacts, including random tilings. Our results provide useful guidelines for controlling the self-assembly of colloidal particles at interfaces.

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• Non-equilibrium coexistence between a fluid and a hotter or colder crystal of granular hard disks
• Self-assembly and non-equilibrium phase coexistence in a binary granular mixture
• Nonadditive Interactions Unlock Small-Particle Mobility in Binary Colloidal Monolayers
• Disordering two-dimensional magnet-particle configurations using bidispersity
• Phase Field Crystal model for particles with n-fold rotational symmetry in two dimensions