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 the 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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29 May 2020
Research Article|
May 22 2020
Infinite-pressure phase diagram of binary mixtures of (non)additive hard disks
Etienne Fayen
;
Etienne Fayen
Université Paris-Saclay, CNRS, Laboratoire de Physique des Solides
, 91405 Orsay, France
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Anuradha Jagannathan
;
Anuradha Jagannathan
Université Paris-Saclay, CNRS, Laboratoire de Physique des Solides
, 91405 Orsay, France
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Giuseppe Foffi
;
Giuseppe Foffi
a)
Université Paris-Saclay, CNRS, Laboratoire de Physique des Solides
, 91405 Orsay, France
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Frank Smallenburg
Frank Smallenburg
b)
Université Paris-Saclay, CNRS, Laboratoire de Physique des Solides
, 91405 Orsay, France
b)Author to whom correspondence should be addressed: frank.smallenburg@u-psud.fr
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a)
Electronic mail: giuseppe.foffi@u-psud.fr
b)Author to whom correspondence should be addressed: frank.smallenburg@u-psud.fr
J. Chem. Phys. 152, 204901 (2020)
Article history
Received:
March 19 2020
Accepted:
May 06 2020
Citation
Etienne Fayen, Anuradha Jagannathan, Giuseppe Foffi, Frank Smallenburg; Infinite-pressure phase diagram of binary mixtures of (non)additive hard disks. J. Chem. Phys. 29 May 2020; 152 (20): 204901. https://doi.org/10.1063/5.0008230
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