Nonequilibrium dislocation dynamics and instability of driven vortex lattices in two dimensions

Details Nonequilibrium dislocation dynamics and instability of driven vortex lattices in two dimensions Nonequilibrium dislocation dynamics and instability of driven vortex lattices in two dimensions

1998-05-29

arxiv.org/abs/cond-mat/9805400v2

Phys. Rev. B 58, 14541 (1998)

Physics

Condensed Matter

Statistical Mechanics

published version with minor corrections

Scientific paper

10.1103/PhysRevB.58.14541

We consider dislocations in a vortex lattice that is driven in a two-dimensional superconductor with random impurities. The structure and dynamics of dislocations is studied in this genuine nonequilibrium situation on the basis of a coarse-grained equation of motion for the displacement field. The presence of dislocations leads to a characteristic anisotropic distortion of the vortex density that is controlled by a Kardar-Parisi-Zhang nonlinearity in the coarse-grained equation of motion. This nonlinearity also implies a screening of the interaction between dislocations and thereby an instability of the vortex lattice to the proliferation of free dislocations.

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