Transport properties of the multiple vortices in superconductors with square pinning arrays

Yetiş, H.

doi:10.1140/epjb/e2015-50474-2

Cited by 4 publications

(4 citation statements)

References 37 publications

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“…For higher fillings and other pinning geometries, additional dynamic flow phases occur which generically fall into two categories: a smooth non-chaotic flow of interstitial vortices between pinned vortices and/or immobile interstitial vortices, and chaotic flow states [174,[176][177][178][179][180][181]. The depinning into a smooth non-chaotic phase when the pinned equilibrium vortex lattice structure is ordered is illustrated in figure 33(a) for a triangular pinning array at n = 4.0 where the vortices form an ordered triangular lattice below depinning [182].…”

Section: Dynamic Phases Of Superconducting Vortices On Periodic Subst...mentioning

confidence: 99%

Depinning and nonequilibrium dynamic phases of particle assemblies driven over random and ordered substrates: a review

2016

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Abstract. We review the depinning and nonequilibrium phases of collectively interacting particle systems driven over random or periodic substrates. This type of system is relevant to vortices in type-II superconductors, sliding charge density waves, electron crystals, colloids, stripe and pattern forming systems, and skyrmions, and could also have connections to jamming, glassy behaviors, and active matter. These systems are also ideal for exploring the broader issues of characterizing transient and steady state nonequilibrium flow phases as well as nonequilibrium phase transitions between distinct dynamical phases, analogous to phase transitions between different equilibrium states. We discuss the differences between elastic and plastic depinning on random substrates and the different types of nonequilibrium phases which are associated with specific features in the velocity-force curves, fluctuation spectra, scaling relations, and local or global particle ordering. We describe how these quantities can change depending on the dimension, anisotropy, disorder strength, and the presence of hysteresis. Within the moving phase we discuss how there can be a transition from a liquid-like state to dynamically ordered moving crystal, smectic, or nematic states. Systems with periodic or quasiperiodic substrates can have multiple nonequilibrium second or first order transitions in the moving state between chaotic and coherent phases, and can exhibit hysteresis. We also discuss systems with competing repulsive and attractive interactions, which undergo dynamical transitions into stripes and other complex morphologies when driven over random substrates. Throughout this work we highlight open issues and future directions such as absorbing phase transitions, nonequilibrium work relations, inertia, the role of non-dissipative dynamics such as Magnus effects, and how these results could be extended to the broader issues of plasticity in crystals, amorphous solids, and jamming phenomena.

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Section: Dynamic Phases Of Superconducting Vortices On Periodic Subst...mentioning

confidence: 99%

Depinning and nonequilibrium dynamic phases of particle assemblies driven over random and ordered substrates: a review

2016

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“…Numerous investigations have successfully studied the effect of various geometries of pinning center patterns in superconductor tapes, including triangular [8][9][10][11][12][13][14][15][16][17][18][19][20][21][22][23], square [8,9,16,[24][25][26][27][28][29][30][31][32][33][34][35][36][37], rectangular [38][39][40][41][42][43], conformal crystal [44,45], Kagome [11, 15-17, 21, 46-52], honeycomb [11,19,[46][47][48]51], and other [53][54]…”

Section: I-introductionmentioning

confidence: 99%

Enhancing Critical Current Density in Thin Superconductor Layers by Moiré Pinning Centers

Owjifard,

Tavana,

Hosseini

2024

Preprint

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One important factor affecting the critical current density in type-II superconductors is the formation of artificial pinning centers. Hence, the engineering of pinning centers in superconducting systems has garnered considerable attention. In this study, the effect of moiré patterned pinning centers on the critical current density of superconducting tapes is investigated. The Langevin equation is solved by taking into account the prominent forces within the superconductor medium, using the appropriate boundary conditions for vortices. The vortex dynamics is investigated by performing molecular dynamics simulations, which are used to calculate the corresponding critical current densities. Results show a significant enhancement in the critical current density at particular angles of the relative rotation of the primary lattices. It is also revealed that for stronger pinning forces, the calculated critical current densities are higher in the moiré lattices compared to the primary lattices of pinning centers.

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“…For periodic pinning, such as square [12][13][14][15][16][17][18][19][20][21], triangular [30][31][32][33][34][35]55], honeycomb [27,29,30,38], and Kagomé [27-29, 32, 37], vortices tend to match the pinning lattice in commensurate patterns, which greatly enhances the critical current density. However, these enhancements occur at specific values of magnetic fields, resulting in high oscillations of the critical current as a function of the applied field [13,14,29,[33][34][35][36][37][38][39][40].…”

Section: Introductionmentioning

confidence: 99%

Surface Effects on the Dynamic Behavior of Vortices in Type II Superconducting Strips with Periodic and Conformal Pinning Arrays

Vizarim

Carlone

Verga

et al. 2017

J Supercond Nov Magn

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Using molecular dynamics techniques, we simulate the vortex behavior in a type II superconducting strip in the presence of triangular and two types of conformal pinning arrays, one with a pinning gradient perpendicular to the driving force (C1) and the other parallel (C2), at zero temperature. A transport force is applied in the infinite direction of the strip, and the magnetic field is increased until the rate between the density of vortices (n v ) and pinning (n p ) reaches n v /n p = 1.5. Our results show a monotonic increase, by steps, of the vortex density with the applied magnetic field. Besides, each pinning lattice presents a different vortex penetration delay. For the triangular pinning array, different than the case of infinite films, here the system exhibits only one pronounced depinning force peak at n v /n p = 1. However, the depinning force peak is present for only one value of field, in the range of fields where n v /n p = 1 is stable. For the case of conformal pinning arrays, in analogy to what is observed in infinite films, no commensurability depinning force peaks were found. In the present case, the C1 array is more efficient at low fields, all arrays are equivalent in the intermediate fields, and the C2 array is more efficient for high fields. We also show that for the C1 array at high fields, vortices depin following the conformal arches, from the edge to the center. For the C2 array, the depinning force is higher when compared to that of C1, because this particular conformal structure prevents the formation of easy vortex flow channels.

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Transport properties of the multiple vortices in superconductors with square pinning arrays

Cited by 4 publications

References 37 publications

Depinning and nonequilibrium dynamic phases of particle assemblies driven over random and ordered substrates: a review

Depinning and nonequilibrium dynamic phases of particle assemblies driven over random and ordered substrates: a review

Enhancing Critical Current Density in Thin Superconductor Layers by Moiré Pinning Centers

Surface Effects on the Dynamic Behavior of Vortices in Type II Superconducting Strips with Periodic and Conformal Pinning Arrays

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