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We study the depinning transition of a driven chain-like system in the presence of frustrationand quenched disorder. The analysis is motivated by recent transport experiments on artificialvortex-flow channels in superconducting thin films. We start with a London description of thevortices and then map the problem onto a generalized Frenkel-Kontorova model and itscontinuous equivalent, the sine-Gordon model. In the absence of disorder, frustration reducesthe depinning threshold in the commensurate phase, which nearly vanishes in theincommensurate regime. Depinning of the driven frustrated chain occurs via unstableconfigurations that are localized at the boundaries of the sample and evolve into topologicaldefects which move freely through the entire sample. In the presence of disorder, topologicaldefects can also be generated in the bulk. Further, disorder leads to pinning of topologicaldefects. We find that weak disorder effectively reduces the depinning threshold in thecommensurate phase, but increases the threshold in the incommensurate phase.

Plastic depinning in artificial vortex channels: Competition between bulk and boundary nucleation