Stability of Colloidal Quasicrystals

Abstract

Freezing of charge-stabilized colloidal suspensions and relative stabilities of crystals and quasicrystals are studied using thermodynamic perturbation theory. Macroion interactions are modelled by effective pair potentials combining electrostatic repulsion with polymer-depletion or van der Waals attraction. Comparing free energies -- counterion terms included -- for elementary crystals and rational approximants to icosahedral quasicrystals, parameters are identified for which one-component quasicrystals are stabilized by a compromise between packing entropy and cohesive energy.

6 pages, 4 figures

References in corpus (2)

• Thermodynamically Stable One-Component Quasicrystals: A Density-Functional Survey of Relative Stabilities
• Thermodynamically Stable One-Component Metallic Quasicrystals

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• Self-Assembly of Monatomic Complex Crystals and Quasicrystals with a Double-Well Interaction Potential
• Holographic assembly of quasicrystalline photonic heterostructures
• Stability of Quasicrystals Composed of Soft Isotropic Particles
• Quasicrystalline order and a crystal-liquid state in a soft-core fluid
• Growth modes of quasicrystals
• Effective Interactions and Volume Energies in Charged Colloids: Linear Response Theory
• Solid-phase structures of the Dzugutov pair potential
• Stability of Two-Dimensional Soft Quasicrystals
• Soft-core particles freezing to form a quasicrystal and a crystal-liquid phase
• Quasicrystals in a Monodisperse System
• Effective Interactions and Volume Energies in Charge-Stabilized Colloidal Suspensions
• Self-assembly of the decagonal quasicrystalline order in simple three-dimensional systems
• Influence of solvent granularity on the effective interaction between charged colloidal suspensions
• Emergent Quasicrystalline Symmetry in Light-Induced Quantum Phase Transitions
• Mixtures of Charged Colloid and Neutral Polymer: Influence of Electrostatic Interactions on Demixing and Interfacial Tension
• Structural complexity in monodisperse systems of isotropic particles
• Effects of confinement between attractive and repulsive walls on the thermodynamics of an anomalous fluid
• Low-temperature crystal structures of the hard core square shoulder model
• Stabilizing quasicrystals composed of patchy colloids by narrowing the patch width
• Density Distribution in Soft Matter Crystals and Quasicrystals
• Stability of Soft Quasicrystals in a Coupled-Mode Swift-Hohenberg Model for Three-Component Systems
• Event-chain Monte Carlo simulations of the liquid to solid transition of two-dimensional decagonal colloidal quasicrystals