Analysis of pattern formation in systems with competing range interactions

Zhao, Haijun; Peeters, F. M.

doi:10.1088/1367-2630/14/6/063032

Cited by 54 publications

(55 citation statements)

References 36 publications

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“…We also notice that the vortex clusters have very irregular shapes, which can be explained by the symmetry-breaking effect due to the presence of random pinning centers. Such a scenario is in good agreement with the theoretical simulations of a superconducting system with competing interactions and weak pinning centers [14,17]. We would like to stress that these disordered structures, appearing in the type-II/1 phase, have been observed all over the sample (see also in Supplementary Material V).…”

Section: Statistics Of Vortex Arrangementsupporting

confidence: 86%

“…Nevertheless, so far, the phase transitions and related vortex patterns for type-II/1 superconductors are not well understood, mainly because of the lack of low-κ superconductors, the interplay of quenched disorder, and the proper technique to visualize the vortices. Ever since the early reports of the IMS observed by the Bitter decoration technique about 40 years ago [12,13], most work has been focused on theoretical simulations, and various vortex patterns have been predicted [10,[14][15][16][17][18][19]. By using the small-angle neutron scattering technique, the morphology of the vortex pattern in low-κ Nb superconductors has been reported [20][21][22].…”

Section: Introductionmentioning

confidence: 99%

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Direct visualization of vortex pattern transition inZrB12with Ginzburg-Landau parameter close to the dual point

Gutiérrez

Lyashchenko

et al. 2014

Phys. Rev. B

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In nature, many systems exhibit modulated phases with periodic macroscopic patterns and textures mainly due to the competitive interactions of different phases. Vortex systems in superconductors, which are easy to access, offer the possibility of tuning the ratio between the competitive interactions, providing a unique tool to study the evolution and equilibrium of similar patterns. The κ-T phase diagram of clean superconductors shows the transition from type-I to type-II superconductivity via a narrow κ range near the dual point κ = 1/ √ 2 where the vortices attract each other at long distances and repel each other at short distances. This κ range, which is termed the type-II/1 phase, becomes larger with decreasing temperature. The direct imaging at the scale of individual vortices of the vortex pattern transition would provide valuable information. Therefore, by using scanning Hall probe microscopy, we have performed direct visualization of the vortex pattern transition in a ZrB 12 single crystal across the type-II and type-II/1 phases. By gradually lowering the temperature, and thereby tuning vortex interactions, a transition is observed from the ordered Abrikosov vortex lattice to a disordered vortex pattern with large areas of Meissner phase, vortex chains, and vortex clusters. The formation of vortex chains and clusters has been found to arise from the combined effect of quenched disorder and the attractive vortex-vortex interaction in the type-II/1 phase. The clusters and chains serve as the vortex reservoir to enable the formation of a triangular vortex lattice of the type-II phase at high temperatures.

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Section: Statistics Of Vortex Arrangementsupporting

confidence: 86%

Section: Introductionmentioning

confidence: 99%

Direct visualization of vortex pattern transition inZrB12with Ginzburg-Landau parameter close to the dual point

Gutiérrez

Lyashchenko

et al. 2014

Phys. Rev. B

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“…For vortices interacting via non-monotonic repulsive-attractive interactions, vortex pattern formation has been analyzed [10,27,[30][31][32][33][34][35][36], using various models. In particular, vortex clusters, stripes, labyrinths, deformed lattices, and lattices with voids were found [35]. In addition, systems with non-monotonic interaction were shown to display unusual dynamics, such as size-selective dynamical cluster formation and re-orientation of longitudinal stripes to transverse stripes [36].…”

Section: Introductionmentioning

confidence: 99%

Pattern formation in vortex matter with pinning and frustrated intervortex interactions

2017

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We investigate the effects related to vortex core deformations when vortices approach each other.As a result of these vortex core deformations, the vortex-vortex interaction effectively acquires an attractive component leading to a variety of vortex patterns typical for systems with nonmonotonic repulsive-attractive interaction, such as stripes, labyrinths, etc. The core deformations are anisotropic and can induce frustration in the vortex-vortex interaction. In turn, this frustration has an impact on the resulting vortex patterns, which are analyzed in the presence of additional random pinning, as a function of the pinning strength. This analysis can be applicable to vortices in multiband superconductors or to vortices in Bose-Einstein condensates.

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“…The repulsion can be caused by a soft shell, as in the case of polymeric brushes [27,28,29], or by electrostatic repulsion in charged colloids and molecules [30,31,32,33], while the attraction is caused by van der Walls forces or solvent effects [34]. The patterns formation in two-dimensions (2D) has been extensively explored in the literature by theoretical and computational works [35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50]. These patterns includes small clusters, lamellae phases, stripes and porous phases.…”

Section: Introductionmentioning

confidence: 99%

Distinct aggregation patterns and fluid porous phase in a 2D model for colloids with competitive interactions

Bordin

2018

Physica A: Statistical Mechanics and its Applications

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In this paper we explore the self-assembly patterns in a two dimensional colloidal system using extensive Langevin Dynamics simulations. The pair potential proposed to model the competitive interaction have a short range length scale between first neighbors and a second characteristic length scale between third neighbors. We investigate how the temperature and colloidal density will affect the assembled morphologies. The potential shows aggregate patterns similar to observed in previous works, as clusters, stripes and porous phase. Nevertheless, we observe at high densities and temperatures a porous mesophase with a high mobility, which we name fluid porous phase, while at lower temperatures the porous structure is rigid. triangular packing was observed for the colloids and pores in both solid and fluid porous phases. Our results show that the porous structure is well defined for a large range of temperature and density, and that the fluid porous phase is a consequence of the competitive interaction and the random forces from the Langevin Dynamics.

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Analysis of pattern formation in systems with competing range interactions

Cited by 54 publications

References 36 publications

Direct visualization of vortex pattern transition inZrB12with Ginzburg-Landau parameter close to the dual point

Direct visualization of vortex pattern transition inZrB12with Ginzburg-Landau parameter close to the dual point

Pattern formation in vortex matter with pinning and frustrated intervortex interactions

Distinct aggregation patterns and fluid porous phase in a 2D model for colloids with competitive interactions

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