Recent theoretical and experimental research on low-bulk-pinning superconducting strips has revealed striking domelike magnetic-field distributions due to geometrical edge barriers. The observed magnetic-flux profiles differ strongly from those in strips in which bulk pinning is dominant. In this paper we theoretically describe the current and field distributions of a superconducting strip under the combined influence of both a geometrical edge barrier and bulk pinning at the strip's critical current Ic, where a longitudinal voltage first appears. We calculate Ic and find its dependence upon a perpendicular applied magnetic field Hₐ. The behavior is governed by a parameter p, defined as the ratio of the bulk-pinning critical current Iₚ to the geometrical-barrier critical current Iₛ₀. We find that when p>2/π and Iₚ is field independent, Ic vs Hₐ exhibits a plateau for small Hₐ, followed by the dependence Ic-Iₚ∝Hₐ^-1 in higher magnetic fields.
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Elistratov et al. (2002) studied this question.
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