Self-Organized Critical Behavior in Pinned Flux Lattices

Plá, O.; Nori, Franco

doi:10.1103/physrevlett.67.919

Cited by 104 publications

(62 citation statements)

References 9 publications

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“…With this approach it has been possible to reproduce flux profiles [37], hysteresis [37], avalanches [36,39,40] and plastic flow [35,40]. One of the aims of these studies [37] is to establish precise connections between the microscopic models and the macroscopic behavior, captured for instance by generalized Bean models.…”

Section: Gradient Driven Dynamics: Front Invasionmentioning

confidence: 99%

“…A widely used modeling strategy to describe the fluctuations around the Bean state consists of numerical simulations of interacting vortices, pinned by quenched random impurities [35][36][37][38][39][40]. With this approach it has been possible to reproduce flux profiles [37], hysteresis [37], avalanches [36,39,40] and plastic flow [35,40].…”

Section: Gradient Driven Dynamics: Front Invasionmentioning

confidence: 99%

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Deblocking of interacting particle assemblies: from pinning to jamming

Miguel¹,

Andrade²,

Zapperi³

2003

Braz. J. Phys.

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A wide variety of interacting particle assemblies driven by an external force are characterized by a transition between a blocked and a moving phase. The origin of this deblocking transition can be traced back to the presence of either external quenched disorder, or of internal constraints. The first case belongs to the realm of the depinning transition, which, for example, is relevant for flux-lines in type II superconductors and other elastic systems moving in a random medium. The second case is usually included within the so-called jamming scenario observed, for instance, in many glassy materials as well as in plastically deforming crystals. Here we review some aspects of the rich phenomenology observed in interacting particle models. In particular, we discuss front depinning, observed when particles are injected inside a random medium from the boundary, elastic and plastic depinning in particle assemblies driven by external forces, and the rheology of systems close to the jamming transition. We emphasize similarities and differences in these phenomena.

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Section: Gradient Driven Dynamics: Front Invasionmentioning

confidence: 99%

Section: Gradient Driven Dynamics: Front Invasionmentioning

confidence: 99%

Deblocking of interacting particle assemblies: from pinning to jamming

Miguel¹,

Andrade²,

Zapperi³

2003

Braz. J. Phys.

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“…A pinning-depinning transition arises from the competition between disorder-induced pinning force and Lorentz driving force due to the bias current. Under such a competition, the vortex motion is analogous to the flow of sand grains in a sand pile [21], where the competition is between the jamming due to the granularity of the system and gravitational force. Indeed, hysteresis [22] and slow relaxation rates [23] have been observed in granular flow under mechanical vibrations.…”

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confidence: 99%

Origin of Nonlinear Transport across the Magnetically Induced Superconductor-Metal-Insulator Transition in Two Dimensions

et al. 2006

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We have studied the effect of perpendicular magnetic fields and temperatures on the nonlinear electronic transport in amorphous Ta superconducting thin films. The films exhibit a magnetic field induced metallic behavior intervening the superconductor-insulator transition in the zero temperature limit. We show that the nonlinear transport in the superconducting and metallic phase is of non-thermal origin and accompanies an extraordinarily long voltage response time.In recent years, the suppression of superconductivity in two-dimensions (2D) by means of increasing disorder (usually controlled by film thickness) or applying magnetic fields has been a focus of attention. Conventional treatments [1,2,3,4,5] of electronic transport predict that in 2D the suppression of the superconductivity leads to a direct superconductor-insulator transition (SIT) in the limit of zero temperature (T = 0). This traditional view has been challenged by the observation of magnetic field (B) induced metallic behavior in amorphous MoGe [6,7,8] and Ta thin films [9]. The unexpected metallic behavior, intervening the B-driven SIT, is characterized by a drop in resistance (ρ) followed by a saturation to a finite value as T → 0. The metallic resistance can be orders of magnitude smaller than the normal state resistance (ρ n ) implying that the metallic state exists as a separate phase rather than a point in the phase diagram. Despite many theoretical treatments [8,10,11,12,13,14,15,16,17], a consensus on the mechanism behind the metallic behavior is yet to be reached. Proposed origins of the metallic behavior include bosonic interactions in the nonsuperconducting phase [10,11], contribution of fermionic quasiparticles to the conduction [12,13], and quantum phase fluctuations [14,15].In a recent paper [9] on the magnetically induced metallic behavior in Ta films, we have reported the nonlinear voltage-current (I-V ) characteristics that can be used to identify each phase. The superconducting phase is unique in having both a hysteretic I-V and an "immeasurably" small voltage response to currents below an apparent critical current I c . The metallic phase can be identified by a differential resistance (dV /dI) that increases with increasing I, whereas the insulating phase is identified by a dV /dI that decreases with increasing I. The contrasting nonlinear I-V in the metallic and insulating phase are shown in Fig. 1(a).The main purpose of this Letter is to report that the origin of the nonlinear transport, particularly in the superconducting and metallic phase, is not a simple reflection of T -dependence of ρ via the unavoidable Joule heating. We describe the effect of B and T on the nonlinear TABLE I: List of sample parameters: nominal film thickness, mean field Tc at B = 0, normal state resistivity at 4.2 K, critical magnetic field at which the resistance reaches 90% of the high field saturation value, and correlation length calculated from ξ = Φ0/2πBc where Φ0 is the flux quantum.

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“…This is the parabolic model proposed by Pla and Nori [10]. Therefore, the pinning center will act as parabolic traps for the vortices.…”

Section: Interaction Of Vortices With Periodic Pinning Arraymentioning

confidence: 99%

Chaotic movement of vortices in superconductors of high-Tc superconducting maglev system at a high speed

Lin

2012

J. Mod. Transport.

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Vortex motion in superconductors of high-T c superconducting maglev system is studied by a computational simulation. The vortex system is treated in a similar fashion, as a system where defects are arranged in periodic arrays and driven by an alternating current (AC) field. Computational simulation reveals that due to the high nonlinearity of the vortex-defect interaction, the system shows typical chaotic characters. Effects of the vortex-vortex coupling, the driving frequency, and the vortex viscosity on the vortex motion have been studied to reveal the interaction between the spatial and temporal chaos. It is found that the mean-field approach is a good approximation to describe the vortex motion in one dimensional vortex system under an AC driving field. The vortex motion under the damping mode is a kind of self-organized motion. Lastly, the spatial chaos can dominate the chaotic behavior of the system.

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Self-Organized Critical Behavior in Pinned Flux Lattices

Cited by 104 publications

References 9 publications

Deblocking of interacting particle assemblies: from pinning to jamming

Deblocking of interacting particle assemblies: from pinning to jamming

Origin of Nonlinear Transport across the Magnetically Induced Superconductor-Metal-Insulator Transition in Two Dimensions

Chaotic movement of vortices in superconductors of high-Tc superconducting maglev system at a high speed

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