Elastic depinning transition for superconductor vortices

We present 2D numerical simulation results of vortex lattices driven over a random disorder. We study the vortex dynamics at the depinning threshold Fc for weak disorder at zero temperature. Elastic regimes are 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 exponent β = 0.27 ± 0.04 is extracted from the critical region of several large lattice sizes.