Critical transport currents of the superconducting ladder

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Abstract
Critical currents injected from an external source into the superconducting microladder are obtained as a function of magnetic flux at constant temperature for the uniform-current mode. We find a new, first-order, phase-transition boundary in temperature–magnetic-flux space which divides the superconducting region into two domains: one supporting both injected and persistent currents, the other a persistent current only. This boundary is distinctly different from the second-order phase-transition boundary.