Vortex wandering in a forest of splayed columnar defects

Details Vortex wandering in a forest of splayed columnar defects Vortex wandering in a forest of splayed columnar defects

2001-05-13

arxiv.org/abs/cond-mat/0105255v1

Phys. Rev. B 64, 144512 (2001)

Physics

Condensed Matter

Superconductivity

11 pages, 9 figures

Scientific paper

10.1103/PhysRevB.64.144512

We investigate the scaling properties of single flux lines in a random pinning landscape consisting of splayed columnar defects. Such correlated defects can be injected into Type II superconductors by inducing nuclear fission or via direct heavy ion irradiation. The result is often very efficient pinning of the vortices which gives, e.g., a strongly enhanced critical current. The wandering exponent \zeta and the free energy exponent \omega of a single flux line in such a disordered environment are obtained analytically from scaling arguments combined with extreme-value statistics. In contrast to the case of point disorder, where these exponents are universal, we find a dependence of the exponents on details in the probability distribution of the low lying energies of the columnar defects. The analytical results show excellent agreement with numerical transfer matrix calculations in two and three dimensions.

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