Depinning and Creep Motion in Glass States of Flux Lines

Luo, Meng‐Bo; Hu, Xiao

doi:10.1103/physrevlett.98.267002

Cited by 64 publications

(96 citation statements)

References 40 publications

(64 reference statements)

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“…The naive analogy with standard phase transitions (e.g., magnetization vs temperature with an external magnetic field in the Ising model), thinking of V as the order parameter and H as the control parameter, suggests that V ∼ T ψ at H = H c , with ψ being a universal thermal rounding exponent. [30][31][32][33][34][35][36][37] Although the very existence and universality of such a power law has not been rigorously proven for the depinning transition, it is consistent with recent numerical simulations. 33,[35][36][37] Furthermore, based on this analogy with standard phase transitions one can argue that the order parameter is a homogeneous function of the external parameters.…”

Section: Introductionsupporting

confidence: 83%

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Thermal rounding of the depinning transition in ultrathin Pt/Co/Pt films

2012

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We perform a scaling analysis of the mean velocity of extended magnetic domain walls driven in ultrathin Pt/Co/Pt ferromagnetic films with perpendicular anisotropy, as a function of the applied external field for different film thicknesses. We find that the scaling of the experimental data around the thermally rounded depinning transition is consistent with the universal depinning exponents theoretically expected for elastic interfaces described by the one-dimensional quenched Edwards-Wilkinson equation. In particular, values for the depinning exponent β and thermal rounding exponent ψ are tested, and the present analysis of the experimental data is compatible with β = 0.33 and ψ = 0.2, in agreement with numerical simulations.

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Section: Introductionsupporting

confidence: 83%

“…This scaling behavior is expected to hold close to the critical point, i.e., for H − H c H c and T → 0. Although this scaling form has been successfully tested in numerical simulations, 33,35,37 it has not yet been experimentally probed.…”

Section: Introductionmentioning

confidence: 99%

Thermal rounding of the depinning transition in ultrathin Pt/Co/Pt films

2012

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“…On the other hand, at forces around the critical value, F ≈ F c , a finite temperature value smears out the transition, which is no longer abrupt. This thermal rounding of the depinning transition can be characterized, exactly at the critical force F = F c , by a power-law vanishing of the velocity with the temperature as V ∼ T ψ , with ψ the thermal rounding exponent [24][25][26][27][28][29][30].…”

Section: Introductionmentioning

confidence: 99%

Thermal rounding exponent of the depinning transition of an elastic string in a random medium

2012

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We study numerically thermal effects at the depinning transition of an elastic string driven in a two-dimensional uncorrelated disorder potential. The velocity of the string exactly at the sample critical force is shown to behave as V ∼ T ψ , with ψ the thermal rounding exponent. We show that the computed value of the thermal rounding exponent, ψ = 0.15, is robust and accounts for the different scaling properties of several observables both in the steady state and in the transient relaxation to the steady state. In particular, we show the compatibility of the thermal rounding exponent with the scaling properties of the steady-state structure factor, the universal short-time dynamics of the transient velocity at the sample critical force, and the velocity scaling function describing the joint dependence of the steady-state velocity on the external drive and temperature.

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“…Finalement, notons que les mesuresà température non nulle confirment notre résultat β = 0.27 ± 0.04. Notonségalement qu'un travail précédent sur les vortex dans les supraconducteurs en dimension d = 3 [14] trouvait un exposant β = 0.65 ± 0.01.…”

Section: Dépiégeageélastique : Résultatsunclassified

Transition de dépiégeage élastique de vortex supraconducteurs

Olive¹,

Scala²,

Lansac³

et al. 2012

ESAIM: Proc.

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Résumé. Nous présentons des résultats de simulations numériquesà deux dimensions sur des réseaux de vortex dans les supraconducteurs que l'on met en mouvement dans un potentiel aléatoire. Onétudie la dynamique des vortex au seuil de dépiégeage Fc dans le cas d'un faible désordreà température nulle. Les régimesélastiques au seuil de dépiégeage sont analysés dans le cadre des transitions de phase continues (transitions du second ordre). La réponse en vitesse và la force d'entraînement F se comporte comme v ∼ (F − Fc) β au voisinage immédiat du seuil de dépiégeage. Dans la région critique obtenue pour différentes grandes tailles du système simulé, nous mesurons l'exposant critique β = 0.27 ± 0.04.Abstract. We present 2D numerical simulation results of superconductor vortex lattices driven over a random disorder. The vortex dynamics at the depinning threshold Fc is studied at zero temperature in the case of weak disorder. The dynamics is elastic and the depinning transition is analysed in the framework of a second order phase transition where the velocity response v to the driving force F behaves like v ∼ (F − Fc) β . The analysis of the critical region of several large lattice sizes leads to the result that β = 0.27 ± 0.04.

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Depinning and Creep Motion in Glass States of Flux Lines

Cited by 64 publications

References 40 publications

Thermal rounding of the depinning transition in ultrathin Pt/Co/Pt films

Thermal rounding of the depinning transition in ultrathin Pt/Co/Pt films

Thermal rounding exponent of the depinning transition of an elastic string in a random medium

Transition de dépiégeage élastique de vortex supraconducteurs

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