Topological Defects in Flat Geometry: The Role of Density Inhomogeneity

Yao, Zhenwei; Cruz, Mónica Olvera de la

doi:10.1103/physrevlett.111.115503

Cited by 35 publications

(49 citation statements)

References 27 publications

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“…This problem provides useful insights into the physics of quantum dots and Bose-Einstein condensates [3], topological defects [4][5][6], and colloidal systems, where colloidal particles self-assemble at the interface of two distinct liquids such as particle-stabilized [7] or charged-stabilized emulsions [8,9].…”

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confidence: 99%

“…There are hundreds of papers on the self-organization of charged particles in disk geometry (a hard confinement) in different fields of physics and chemistry (see, for, example, [3,6]) where various simulation techniques are used. Although a similar pattern is obtained for a hard wall potential for n ≤ 50 (c.f., [16]), the distribution of particles is very different from the one found for the harmonic oscillator confinement.…”

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confidence: 99%

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Thomson rings in a disk

Cerkaski¹,

Nazmitdinov²,

Puente³

2015

Phys. Rev. E

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We discuss the basic principles of self-organization of a finite number of charged particles interacting via the 1/r Coulomb potential in disk geometry. The analysis is based on the cyclic symmetry and periodicity of the Coulomb interaction between particles located on several rings.As a result, a system of equations is derived, which allows us readily to determine with high accuracy the equilibrium configurations of a few hundreds charged particles. For n 200 we predict the formation of a hexagonal core and valence circular rings for the centered configurations.

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confidence: 99%

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confidence: 99%

Thomson rings in a disk

Cerkaski¹,

Nazmitdinov²,

Puente³

2015

Phys. Rev. E

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“…Moreover, for denser regimes and for high ε, we observe other complex disordered states. Our experimental system could indeed be used to mimic, at the macroscopic scale, geometric frustration [35,36] or topological defects [37] arising in various physical systems. * * * We thank J.-C. Bacri for providing the coils and for discussions, and P. Visco, L. Deike, L. Gordillo and T. Jamin for fruitful discussions.…”

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confidence: 99%

Transition from a dissipative to a quasi-elastic system of particles with tunable repulsive interactions

Merminod¹,

Berhanu²,

Falcon³

2014

EPL

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-A two-dimensional system of particles with tunable repulsive interactions is experimentally investigated. Soft ferromagnetic particles are placed on a vibrating rough plate and vertically confined, so that they perform a horizontal Brownian motion in a cell. When immersed in an external vertical magnetic field, the particles become magnetised and thus interact according to a dipolar repulsive law. As the amplitude of the magnetic field is increased, magnetic repulsion raises and the rate of inelastic collisions decreases. Studying the pair correlation function and the particle velocity distributions, we show that the typical properties of such a dissipative out-of-equilibrium granular gas are progressively lost, to approach those expected for a usual gas at thermodynamic equilibrium. For stronger interaction strengths, the system gradually solidifies towards a hexagonal crystal. This new setup could consequently be used as a model experimental system for out-of-equilibrium statistical physics, in which the distance to the quasi-elastic limit can be accurately controlled.

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“…Recent work shows that even on flat geometries topological defects can be introduced via the long-range interaction-driven density inhomogeneity in the otherwise regular particle arrays (16), suggesting the intimate relation between the topological defects and the spatial variation of the distance between neighboring particles. We are therefore led to using size polydispersity to introduce density inhomogeneity and thus the topological defects; this routine is more direct and easier to manipulate in comparison with using longrange potentials.…”

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Polydispersity-driven topological defects as order-restoring excitations

Yao

Cruz

2014

Proc. Natl. Acad. Sci. U.S.A.

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The engineering of defects in crystalline matter has been extensively exploited to modify the mechanical and electrical properties of many materials. Recent experiments on manipulating extended defects in graphene, for example, show that defects direct the flow of electric charges. The fascinating possibilities offered by defects in two dimensions, known as topological defects, to control material properties provide great motivation to perform fundamental investigations to uncover their role in various systems. Previous studies mostly focus on topological defects in 2D crystals on curved surfaces. On flat geometries, topological defects can be introduced via density inhomogeneities. We investigate here topological defects due to size polydispersity on flat surfaces. Size polydispersity is usually an inevitable feature of a large variety of systems. In this work, simulations show well-organized induced topological defects around an impurity particle of a wrong size. These patterns are not found in systems of identical particles. Our work demonstrates that in polydispersed systems topological defects play the role of restoring order. The simulations show a perfect hexagonal lattice beyond a small defective region around the impurity particle. Elasticity theory has demonstrated an analogy between the elementary topological defects named disclinations to electric charges by associating a charge to a disclination, whose sign depends on the number of its nearest neighbors. Size polydispersity is shown numerically here to be an essential ingredient to understand short-range attractions between like-charge disclinations. Our study suggests that size polydispersity has a promising potential to engineer defects in various systems including nanoparticles and colloidal crystals.crystallography | geometric frustration | soft particles | dislocation

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Topological Defects in Flat Geometry: The Role of Density Inhomogeneity

Cited by 35 publications

References 27 publications

Thomson rings in a disk

Thomson rings in a disk

Transition from a dissipative to a quasi-elastic system of particles with tunable repulsive interactions

Polydispersity-driven topological defects as order-restoring excitations

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