Direct determination of the collective pinning radius in high temperature superconductors

Abstract

We study finite-size effects at the onset of the irreversible magnetic behaviour of micron-sized Bi${}_2$Sr${}_2$CaCu${}_2$O${}_{8+\delta }$ single crystals by using silicon micro-oscillators. We find an irreversibility line appearing well below the thermodynamic Bragg-glass melting line at a magnetic field which increases both with increasing the sample radius and with decreasing the temperature. We show that this size-dependent irreversibility line can be identified with the crossover between the Larkin and the random manifold regimes of the vortex lattice transverse roughness. Our method allows to determine the three-dimensional weak collective pinning Larkin radius in a {\it direct way}.

4 pages, 3 figs

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Cited by in corpus (8)

• Random-Manifold to Random-Periodic Depinning of an Elastic Interface
• Roughening of the anharmonic Larkin model
• Geometrical confinement effects in layered mesoscopic vortex-matter
• Excess of topological defects induced by confinement in vortex nanocrystals
• Magnetic hysteresis behavior of granular manganite La${}_{0.67}$Ca${}_{0.33}$MnO${}_3$ nanotubes
• Nonsteady dynamic properties of a domain wall for the creep state under an alternating driving field
• Flux exchange in inhomogeneous type-II superconductors
• Temperature dependence of coercivity for isolated Ni nanowires unraveled by high-sensitivity micromagnetometry