Stable crystalline lattices in two-dimensional binary mixtures of dipolar particles

Abstract

The phase diagram of binary mixtures of particles interacting via a pair potential of parallel dipoles is computed at zero temperature as a function of composition and the ratio of their magnetic susceptibilities. Using lattice sums, a rich variety of different stable crystalline structures is identified including $A_m{B}_n$ structures. [$A$ $(B)$ particles correspond to large (small) dipolar moments.] Their elementary cells consist of triangular, square, rectangular or rhombic lattices of the $A$ particles with a basis comprising various structures of $A$ and $B$ particles. For small (dipolar) asymmetry there are intermediate $A{B}_2$ and $A_{2}B$ crystals besides the pure $A$ and $B$ triangular crystals. These structures are detectable in experiments on granular and colloidal matter.

6 pages - 2 figs - phase diagram updated

References in corpus (8)

• Stability, dynamical properties and melting of a classical bi-layer Wigner Crystal
• Partial Clustering in Binary Two-Dimensional Colloidal Suspensions
• Lane reduction in driven 2d-colloidal systems through microchannels
• Reentrant transitions in colloidal or dusty plasma bilayers
• Large difference in the elastic properties of fcc and hcp hard-sphere crystals
• Crystal structures and freezing of dipolar fluids
• Weakly nonlinear vertical dust grain oscillations in dusty plasma crystals in the presence of a magnetic field
• Quasicrystalline Order in Binary Dipolar Systems

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• Pickering emulsions stabilized by oppositely charged colloids: stability and pattern formation
• Infinite-pressure phase diagram of binary mixtures of (non)additive hard disks
• Collective Modes in Two Dimensional Binary Yukawa Systems
• Structural and dynamical properties of a quasi-one-dimensional classical binary system
• Vacancy diffusion in colloidal crystals as determined by dynamical density-functional theory and the phase-field-crystal model
• Quasicrystal formation in binary soft matter mixtures
• On Born's conjecture about optimal distribution of charges for an infinite ionic crystal
• Magnetic assembly and annealing of colloidal lattices and superlattices
• Strong Coupling Effects in Binary Yukawa Systems
• Density functional theory for the crystallization of two-dimensional dipolar colloidal alloys
• Two-dimensional colloidal mixtures in magnetic and gravitational fields
• Langevin Dynamics simulations of a 2-dimensional colloidal crystal under confinement and shear
• How does a thermal binary crystal break under shear?
• Self-assembly of complex structures in colloid-polymer mixtures
• Crystallization in a one-dimensional periodic landscape
• Disordering two-dimensional magnet-particle configurations using bidispersity
• Separation of Wigner structures for 2D equimolar binary mixtures of Coulomb particles