Dynamic roughening of the magnetic flux landscape in YBa$_2$Cu$_3$O$_{7-x}$

Details Dynamic roughening of the magnetic flux landscape in YBa$_2$Cu$_3$O$_{7-x}$ Dynamic roughening of the magnetic flux landscape in YBa$_2$Cu$_3$O$_{7-x}$

2004-11-10

arxiv.org/abs/cond-mat/0411260v1

Physics

Condensed Matter

Statistical Mechanics

13 pages, 7 figures, accepted for publication in Physica A

Scientific paper

10.1016/j.physa.2004.08.019

We study the magnetic flux landscape in YBa$_2$Cu$_3$O$_{7-x}$ thin films as a two dimensional rough surface. The vortex density in the superconductor forms a self-affine structure in both space and time. This is characterized by a roughness exponent $\alpha = 0.76(3)$ and a growth exponent $\beta = 0.57(6)$. This is due to the structure and distribution of flux avalanches in the self-organized critical state, which is formed in the superconductor. We also discuss our results in the context of other roughening systems in the presence of quenched disorder.

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