The onset of dissipation in high-temperature superconductors: magnetic hysteresis and field dependence

Recently, we showed that the self-field transport critical current, I(c)(sf), of a superconducting wire can be defined in a more fundamental way than the conventional (and arbitrary) electric field criterion, E(c) = 1 μV/cm. We defined I(c)(sf) as the threshold current, I(c,B), at which the perpendicular component of the local magnetic flux density, B(⊥), measured at any point on the surface of a high-temperature superconducting tape abruptly crosses over from a non-linear to a linear dependence with increasing transport current. This effect results from the current distribution across the tape width progressively transitioning from non-uniform to uniform. The completion of this progressive transition was found to be singular. It coincides with the first discernible onset of dissipation and immediately precedes the formation of a measureable electric field. Here, we show that the same I(c,B) definition of critical currents applies in the presence of an external applied magnetic field, B(a). In all experimental data presented here I(c,B) is found to be significantly (10–30%) lower than I(c,E) determined by the common electric field criterion of E(c) = 1 µV/cm, and E(c) to be up to 50 times lower at I(c,B) than at I(c,E).