Vortex Counting and Velocimetry for Slitted Superconducting Thin Strips

Bevz, V. M.; Mikhaı̆lov, M. Yu.; Budinská, B.; Lamb-Camarena, Sebastian; Shpilinska, S.O.; Chumak, A. V.; Urbánek, Michal; Arndt, Markus; Lang, W.; Dobrovolskiy, Oleksandr V.

doi:10.1103/physrevapplied.19.034098

Cited by 8 publications

(4 citation statements)

References 84 publications

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“…In particular, placement of magnetic nanoarchitectures close to the edge of a superconductor film can find use in probing the stray fields via Abrikosov vortices. The sensitivity of the electric voltage response of superconductors to the suppression of superconductivity along their edges 51 should allow for tuning the vortex trajectories from vortex chains 52 to vortex jets 53 and exploring topological transitions between them 54 , 55 . The integration of 3D topological objects in hierarchical systems with geometric frustration has potential to impact the area of “magnetricity” 56 , which is concerned with the steering of emerging magnetic monopoles in artificial spin-ice systems 57 , 58 .…”

Section: Discussionmentioning

confidence: 99%

Three-dimensional magnetic nanotextures with high-order vorticity in soft magnetic wireframes

Volkov,

Pylypovskyi,

Porrati

et al. 2024

Nat Commun

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Additive nanotechnology enable curvilinear and three-dimensional (3D) magnetic architectures with tunable topology and functionalities surpassing their planar counterparts. Here, we experimentally reveal that 3D soft magnetic wireframe structures resemble compact manifolds and accommodate magnetic textures of high order vorticity determined by the Euler characteristic, χ. We demonstrate that self-standing magnetic tetrapods (homeomorphic to a sphere; χ = + 2) support six surface topological solitons, namely four vortices and two antivortices, with a total vorticity of + 2 equal to its Euler characteristic. Alternatively, wireframe structures with one loop (homeomorphic to a torus; χ = 0) possess equal number of vortices and antivortices, which is relevant for spin-wave splitters and 3D magnonics. Subsequent introduction of n holes into the wireframe geometry (homeomorphic to an n-torus; χ < 0) enables the accommodation of a virtually unlimited number of antivortices, which suggests their usefulness for non-conventional (e.g., reservoir) computation. Furthermore, complex stray-field topologies around these objects are of interest for superconducting electronics, particle trapping and biomedical applications.

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Section: Discussionmentioning

confidence: 99%

Three-dimensional magnetic nanotextures with high-order vorticity in soft magnetic wireframes

Volkov,

Pylypovskyi,

Porrati

et al. 2024

Nat Commun

Self Cite

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“…for strong edge barriers [14]) or larger (e.g. in the case of edge defects [137]) than follows from the simple estimate nΦ 0 = BS [213]. Here, n = 1, 2, .. is the expected vortex number, Φ 0 the magnetic flux quantum, and S the area of the sample surface.…”

Section: B Cryogenic Magnonics and Magnon Fluxonicsmentioning

confidence: 98%

“…An approach for the quantitative determination of n v and v * has recently been demonstrated experimentally [213][214][215]. The idea is based on the Aslamazov and Larkin (AL) prediction [216] of kinks in the I-V curves of wide and short superconducting constrictions when the number of vortices crossing the constriction is increased by one.…”

Section: B Cryogenic Magnonics and Magnon Fluxonicsmentioning

confidence: 99%

“…The idea is based on the Aslamazov and Larkin (AL) prediction [216] of kinks in the I-V curves of wide and short superconducting constrictions when the number of vortices crossing the constriction is increased by one. Such conditions were realized for a-few-micrometer-wide MoSi [213,214] and MoN [215] thin strips in which slits, milled by a focused ion beam [217], locally suppress the edge barrier and allow for a controllable vortex entry. The edge-barrier asymmetry gives rise to negative differential resistance [218] and superconducting diode effects [219], opening up prospects for studies of vortex guiding [100,111,112] and ratchet [17,220,221] effects in the few-and single-fluxon regimes.…”

Section: B Cryogenic Magnonics and Magnon Fluxonicsmentioning

confidence: 99%

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Fast dynamics of vortices in superconductors

Dobrovolskiy

2024

Encyclopedia of Condensed Matter Physics

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Roundabout-like defect as a guide of phase-slip lines in a superconducting thin film at low temperature

Gonzalez-Balaguera,

Aguirre,

Barba-Ortega

2024

emergent mater.

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In this work, we examined the kinematic vortex state in a low-temperature, mesoscopic superconducting thin film in presence of an external applied current $$\varvec{J}$$ J , at zero magnetic field. We analyzed the voltage-current ($$\varvec{V-I}$$ V - I ), resistivity-current ($$\varvec{R-I}$$ R - I ) curves, as well as the vortex-anti-vortex velocity $$\varvec{V_m}$$ V m and the superconducting-electron density (norm of the superconduting order parameter $$\varvec{\psi }$$ ψ ) as an applied current function. Additionally, we have calculated the voltage as a function of characteristic time ($$\varvec{V-t}$$ V - t ). The sample presents a roundabout shaped pinning center fabricated with a lower low-temperature superconducting material, which allows for control over the vortex dynamics within the sample. To study this system, we have solved the generalized time-dependent Ginzburg-Landau equations for a single-condensate system. Our results demonstrate that the kinematic vortices enter the sample through regions where the superconductivity is depleted, revealing an intriguing and novel behavior of the phase-slip lines in the defect. We found that when a higher $$\varvec{J}$$ J is applied and the defect is not centered, the point where the vortex anti-vortex pairs enter the film moves away from the defect and are located in a point tangent to the outer circle of the defect. Besides, our results show a way to control the dynamics of the vortices, critical currents, and points of annihilation or creation of the cinematic vortices by including defects in the sample, important in the design and development of devices applied in industry and engineering.

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Vortex Counting and Velocimetry for Slitted Superconducting Thin Strips

Cited by 8 publications

References 84 publications

Three-dimensional magnetic nanotextures with high-order vorticity in soft magnetic wireframes

Three-dimensional magnetic nanotextures with high-order vorticity in soft magnetic wireframes

Fast dynamics of vortices in superconductors

Roundabout-like defect as a guide of phase-slip lines in a superconducting thin film at low temperature

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