Peak effect at the weak- to strong pinning crossover

Details Peak effect at the weak- to strong pinning crossover Peak effect at the weak- to strong pinning crossover

2004-01-07

arxiv.org/abs/cond-mat/0401086v1

Physics

Condensed Matter

Superconductivity

6 pages, 5 figures (Proceedings of the Third European Conference on Vortex Matter in Superconductors, to be published in Physi

Scientific paper

10.1016/j.physc.2003.11.046

In type-II superconductors, the magnetic field enters in the form of vortices; their flow under application of a current introduces dissipation and thus destroys the defining property of a superconductor. Vortices get immobilized by pinning through material defects, thus resurrecting the supercurrent. In weak collective pinning, defects compete and only fluctuations in the defect density produce pinning. On the contrary, strong pins deform the lattice and induce metastabilities. Here, we focus on the crossover from weak- to strong bulk pinning, which is triggered either by increasing the strength $f_\mathrm{p}$ of the defect potential or by decreasing the effective elasticity of the lattice (which is parametrized by the Labusch force $f_\mathrm{Lab}$). With an appropriate Landau expansion of the free energy we obtain a peak effect with a sharp rise in the critical current density $j_\mathrm{c} \sim j_0 (a_0\xi^2 n_p) (\xi^2/a_0^2) (f_\mathrm{p}/f_\mathrm{Lab} -1)^2$.

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