Honeycomb, square, and kagome vortex lattices in superconducting systems with multiscale intervortex interactions

Meng, Qingyou; Varney, Christopher; Fangohr, Hans; Babaev, Egor

doi:10.1103/physrevb.90.020509

Cited by 17 publications

(25 citation statements)

References 45 publications

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“…A square lattice has also been suggested for another low-κ material (Nb) from the neutron diffraction measurements [20]. Very recently, Meng et al [26] proposed that the various vortex symmetries, including the square lattice, can be generated in superconducting systems with multiscale intervortex interactions, which is in accordance with our findings. At still low temperatures, vortices finally form vortex chains and clusters, as indicated by the open symbols and dashed circles, respectively.…”

Section: B Vortex Pattern Evolutionsupporting

confidence: 90%

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: B Vortex Pattern Evolutionsupporting

confidence: 90%

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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“…Due to their spatial extension, the vortex-vortex interaction acquires a threshold that can be effectively described as a sum of a pure repulsive vortex-vortex interaction potential and an additional attractive term. This situation is similar to the earlier-studied case of multiscale vortex-vortex interactions when two or more purely repulsive potentials characterized by different length-scales result in the appearance of an attractive component in the resulting inter-vortex interaction (see, e.g., [10]). The same idea stands behind the simple interpretation of the origin of an attractive interaction in two-and multi-band superconductors [11][12][13][14][15], where different bands are characterized by different sets of the characteristics lengths, the coherence length, ξ i , and the magnetic field penetra-tion depth, λ i .…”

Section: Introductionsupporting

confidence: 82%

“…I, we discussed the origin of the attractive intervortex interaction in the case of multi-band superconductors. The effective attraction, as explained above, arises from different lengthscales for the different bands [10], or from the different signs of the interaction in the different bands, in the case of the type-1.5 superconductors [11][12][13]. Note that the term "effective" here means that the interaction force between two vortices might not necessarily change the sign or even have a local minimum, but only become lower in absolute value for some r (see Fig.…”

Section: Attractive Component and Pinningmentioning

confidence: 98%

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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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“…Particles with cluster-forming interactions emerge in various contexts ranging from soft matter, complex molecules, to cold atoms and vortices in superconductors [20,21]. The problem is also relevant for the physics of multi-component superconductors where a rich variety of vortex cluster solutions have been found [13,22,23].…”

Section: Introductionmentioning

confidence: 99%

Melting of a two-dimensional monodisperse cluster crystal to a cluster liquid

et al. 2019

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Monodisperse ensembles of particles that have cluster crystalline phases at low temperatures can model a number of physical systems, such as vortices in type-1.5 superconductors, colloidal suspensions and cold atoms. In this work we study a two-dimensional cluster-forming particle system interacting via an ultrasoft potential. We present a simple mean-field characterization of the cluster-crystal ground state, corroborating with Monte Carlo simulations for a wide range of densities. The efficiency of several Monte Carlo algorithms are compared and the challenges of thermal equilibrium sampling are identified. We demonstrate that the liquid to clustercrystal phase transition is of first order and occurs in a single step, and the liquid phase is a cluster liquid. arXiv:1812.01113v2 [cond-mat.soft]

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Honeycomb, square, and kagome vortex lattices in superconducting systems with multiscale intervortex interactions

Cited by 17 publications

References 45 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

Melting of a two-dimensional monodisperse cluster crystal to a cluster liquid

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