Magnetic flux pinning in superconductors with hyperbolic-tessellation arrays of pinning sites

Nori, Franco

doi:10.1103/physrevb.85.184506

Cited by 49 publications

(36 citation statements)

References 30 publications

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“…For example, the terraced vortex distribution found in a nonequilibrium (metastable) distribution of vortices in a critical state carries a direct analogy with the soliton structure derived for a 1D system of atoms adsorbed on a periodic substrate16. Also, the obtained domain structure differs fundamentally from the nonuniform vortex distribution found in17, which is generated by the nonuniform arrangement of pinning sites.…”

Section: Discussionmentioning

confidence: 69%

Vortex phase separation in mesoscopic superconductors

Iaroshenko

Rybalko

Vinokur

et al. 2013

Sci Rep

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We demonstrate that in mesoscopic type II superconductors with the lateral size commensurate with London penetration depth, the ground state of vortices pinned by homogeneously distributed columnar defects can form a hierarchical nested domain structure. Each domain is characterized by an average number of vortices trapped at a single pinning site within a given domain. Our study marks a radical departure from the current understanding of the ground state in disordered macroscopic systems and provides an insight into the interplay between disorder, vortex-vortex interaction, and confinement within finite system size. The observed vortex phase segregation implies the existence of the soliton solution for the vortex density in the finite superconductors and establishes a new class of nonlinear systems that exhibit the soliton phenomenon.

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Section: Discussionmentioning

confidence: 69%

Vortex phase separation in mesoscopic superconductors

Iaroshenko

Rybalko

Vinokur

et al. 2013

Sci Rep

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“…The vortex configurations rely on the competitions between two types of vortices, the pinned vortices and the interstitial vortices, which vary with the pinning landscapes. It has attracted considerable academic attention to explore the vortex configurations in nanostructured superconductors with periodic and nonuniform pinning sites [29][30][31][32][33][34][35][36][37][38][39][40][41][42] (square, honeycomb, etc). Although the quantized confinement effects can be observed in the superconducting films with antidots, the confinement areas are not isolated and the strong interactions between the interstitial vortices in different confinement areas are still observed.…”

Section: Introductionmentioning

confidence: 99%

Stability of degenerate vortex states and multi-quanta confinement effects in a nanostructured superconductor with Kagome lattice of elongated antidots

Xue

et al. 2018

New J. Phys.

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In the present work, we directly visualize the multi-quanta cages (MQCs) consisting of the giant vortices pinned by the elongated antidots using low-temperature scanning Hall probe microscopy. The periodic but sufficiently isolated MQCs, observed at various magnetic fields, are in a good agreement with the simulated vortex states based on the time-dependent Ginzburg-Landau (tdGL) equations. Due to the competition between the interstitial vortices and the pinned giant vortices, the formation and collapse of the MQCs can be tuned by varying magnetic field. The experimental statistics of the interstitial vortices confined in the MQCs show that the interstitial vortex patterns become more disordered at higher magnetic fields. The stability of the degenerate vortex states and the multi-quanta confinement effects under an external current are also investigated by using the tdGL simulations. The splitting of the free energy of the degenerate vortex states indicates that applying external current can eliminate parts of the degenerate vortex states.

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“…Several works had investigated the effects of periodic , quasi-periodic [41][42][43][44][45][46][47][48], and randomly distributed [49][50][51][52][53][54] pinning centers in superconducting films. 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.…”

Section: Introductionmentioning

confidence: 99%

“…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]. On the other hand, quasiperiodic arrays, such as Penrose [43,44,48], hyperbolic tessellations [47], and Archimedean tilings [41,46], show unusual commensurability effects for several values of applied magnetic fields; besides that, for a wide range of fields, the critical depinning currents are high. Recently, Ray et al [56] proposed conformal pinning arrays created by a conformal angle-preserving transformation of a regular pinning array.…”

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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Magnetic flux pinning in superconductors with hyperbolic-tessellation arrays of pinning sites

Cited by 49 publications

References 30 publications

Vortex phase separation in mesoscopic superconductors

Vortex phase separation in mesoscopic superconductors

Stability of degenerate vortex states and multi-quanta confinement effects in a nanostructured superconductor with Kagome lattice of elongated antidots

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

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