Resistive transition of superconducting wire networks. Influence of pinning and fluctuations

Giroud, M.; Buisson, Olivier; Wang, Y. Y.; Pannetier, B.; Mailly, D.

doi:10.1007/bf00118330

Cited by 25 publications

(24 citation statements)

References 56 publications

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“…An important observation is that the amplitude of these "collective" oscillations depends upon the choice of the resistive criterion. This is similar to the case of Josephson junction arrays and weakly coupled wire networks [30] where phase fluctuations dominate the resistive behavior. The inset of Fig.…”

Section: Superconducting Films With An Antidot Latticesupporting

confidence: 71%

Confinement and quantization effects in mesoscopic superconducting structures

Moshchalkov¹,

Bruyndoncx²,

Rosseel³

et al. 1998

AIP Conference Proceedings

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Abstract. We have studied quantization and confinement effects in nanostructured superconductors. Three different types of nanostructured samples were investigated: individual structures (line, loop, dot), 1-dimensional (1D) clusters of loops and 2D clusters of antidots, and finally large lattices of antidots. Hereby, a crossover from individual elementary "plaquettes", via clusters, to huge arrays of these elements, is realized. The main idea of our study was to vary the boundary conditions for confinement of the superconducting condensate by taking samples of different topology and, through that, modifying the lowest Landau level E LLL (H). Since the critical temperature versus applied magnetic field T c (H) is, in fact, E LLL (H) measured in temperature units, it is varied as well when the sample topology is changed through nanostructuring. We demonstrate that in all studied nanostructured superconductors the shape of the T c (H) phase boundary is determined by the confinement topology in a unique way.

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Section: Superconducting Films With An Antidot Latticesupporting

confidence: 71%

Confinement and quantization effects in mesoscopic superconducting structures

Moshchalkov¹,

Bruyndoncx²,

Rosseel³

et al. 1998

AIP Conference Proceedings

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“…The oscillation period is in very good agreement with the expected values calculated from the array period in the Al network. Interestingly Giroud et al [31] observe a periodic broadening of the resistive transition in a magnetic field, with a larger shift in the low resistance tail. This is the same behaviour reported by Patel et al [17] and found by us.…”

Section: Resultsmentioning

confidence: 98%

“…Following, we discuss the role of pinning at high temperatures where SWN is unambiguously observed. Giroud et al [31] found in weakly coupled AlO x wire networks, periodic oscillations together with a substantial broadening of the superconducting transitions in magnetic fields. The oscillation period is in very good agreement with the expected values calculated from the array period in the Al network.…”

Section: Resultsmentioning

confidence: 99%

Vortex pinning vs superconducting wire network: origin of periodic oscillations induced by applied magnetic fields in superconducting films with arrays of nanomagnets

Gómez¹,

Valle²,

González³

et al. 2014

Supercond. Sci. Technol.

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Abstract. Hybrid magnetic arrays embedded in superconducting films are ideal systems to study the competition between different physical (such as the coherence length) and structural length scales such as available in artificially produced structures. This interplay leads to oscillation in many magnetically dependent superconducting properties such as the critical currents, resistivity and magnetization. These effects are generally analyzed using two distinct models based on vortex pinning or wire network. In this work, we show that for magnetic dot arrays, as opposed to antidot (i.e holes) arrays, vortex pinning is the main mechanism for field induced oscillations in resistance R(H), critical current I c (H), magnetization M(H) and ac-susceptibility  ac (H) in a broad temperature range. Due to the coherence length divergence at T c , a crossover to wire network behaviour is experimentally found. While pinning occurs in a wide temperature range up to T c , wire network behaviour is only present in a very narrow temperature window close to T c . In this temperature interval, contributions from both mechanisms are operational but can be experimentally distinguished.

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“…Thus the resistive behavior is observed in a current regime at higher currents where it follows the mean-field theory result 25 where a vortexglass transition is possible at finite temperatures. However, the zero-temperature resistive could in principle be observed in specially prepared wire networks in the weak coupling regime where the additional energy barrier for vortex motion can be minimized 26 . Other effects, such as weak disorder, which is inevitably present in both experimental systems, should also be considered.…”

Section: -970 São José Dos Campos Sp Brazilmentioning

confidence: 99%

Zero-temperature resistive transition in Josephson-junction arrays at irrational frustration

Granato

2007

Phys. Rev. B

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We use a driven Monte Carlo dynamics in the phase representation to determine the linear resistivity and current-voltage scaling of a two-dimensional Josephson-junction array at an irrational flux quantum per plaquette. The results are consistent with a phase-coherence transition scenario where the critical temperature vanishes. The linear resistivity is nonzero at any finite temperatures but nonlinear behavior sets in at a temperature-dependent crossover current determined by the thermal critical exponent. From a dynamic scaling analysis we determine this critical exponent and the thermally activated behavior of the linear resistivity. The results are in agreement with earlier calculations using the resistively shunted-junction model for the dynamics of the array. The linear resistivity behavior is consistent with some experimental results on arrays of superconducting grains but not on wire networks, which we argue have been obtained in a current regime above the crossover current.PACS numbers: 74.81. Fa, 74.25.Qt, 75.10.Nr Most theoretical investigations of the vortex-glass phase in superconductors have considered model systems where there is a combined effect of quenched disorder and frustration 1 . However, in artificial Josephson-junction arrays, frustration without disorder can in principle be introduced by applying an external magnetic field on a perfect periodic array of weakly coupled superconducting grains 2,3,4 and similarly on superconducting wire networks 5,6 . The frustration parameter f , the number of flux quantum per plaquette, is given by f = φ/φ o , the ratio of the magnetic flux through a plaquette φ to the superconducting flux quantum φ o = hc/2e. It can be tuned by varying the strength of the external field. Frustration effects can be viewed as resulting from a competition between the underlying periodic pinning potential of the array and the natural periodicity of the vortex lattice 7 . At a rational value of f , the ground state is a commensurate pinned vortex lattice leading to discrete symmetries in addition to the continuous U (1) symmetry of the superconducting order parameter. The resistive transition is only reasonably well understood for simple rational values of f .At irrational values of f , the resistive behavior is much less understood since the vortex lattice is now incommensurate with the periodic array. In early Monte Carlo (MC) simulations 8 the ground state was found to consist of a disordered vortex pattern lacking long range order which could be regarded as a some sort of vortexglass state without quenched disorder. Glassy-like behavior was indeed observed in these simulations suggesting a possible superconducting (vortex-glass) transition at finite temperatures. However, some arguments also suggested that the critical temperature should vanish 7,9 . Simulations of the current-voltage scaling using the resistively shunted-junction model for the dynamics of the array found that the behavior was consistent with an equilibrium resistive transition where the critical temp...

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Resistive transition of superconducting wire networks. Influence of pinning and fluctuations

Cited by 25 publications

References 56 publications

Confinement and quantization effects in mesoscopic superconducting structures

Confinement and quantization effects in mesoscopic superconducting structures

Vortex pinning vs superconducting wire network: origin of periodic oscillations induced by applied magnetic fields in superconducting films with arrays of nanomagnets

Zero-temperature resistive transition in Josephson-junction arrays at irrational frustration

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