Physics – Condensed Matter – Superconductivity
Scientific paper
2002-04-15
Phys. Rev. B 66, 054514 (2002)
Physics
Condensed Matter
Superconductivity
8 pages, 5 figures, submitted to Physical Review B
Scientific paper
10.1103/PhysRevB.66.054514
Melting of moving vortex lattices in clean superconducting films with periodic pinning is studied by a dynamical "cage" model, based on a mean-field treatment of Langevin's equations for the whole vortex lattice, assuming elastic flow. In the frame moving with the velocity of the vortex lattice center of mass, the model describes forced vibrations of a single vortex tied to a spring. The vortex displacements due to thermal fluctuations and to the periodic pinning force, and the relationship between the driving force and the vortex velocity (V-I curves) are obtained by a perturbation method, valid for high velocities and for both weak and strong periodic pinning. The dynamical melting temperature is calculated as a function of the vortex velocity using Lindemann's criterion. Application to a square defect lattice gives, for strong pinning, dynamical melting lines and anisotropic V-I curves that agree qualitatively with numerical results.
Carneiro Gilson
Souza Silva Clécio C. de
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