Magnetic dynamic hysteresis of a resistively shunted Josephson-junction array

D.-X. Chen; A. Sanchez; A. Hernando

doi:10.1103/PhysRevB.50.10342

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Magnetic dynamic hysteresis of a resistively shunted Josephson-junction array

D.-X. Chen, A. Sanchez, A. Hernando

DOI 10.1103/PhysRevB.50.10342 · Physical Review B

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Abstract

The magnetization curves of a slablike uniform Josephson-junction array with resistive shunts are calculated from the dc and ac Josephson equations and the gauge-invariant phase difference. The parameters are chosen in accord with actual values for high-Tc superconductors (HTSC’s). With decreasing sweep rate of the applied field, the result changes from a complete shielding to one approaching the envelope of the static magnetization curve, which is oscillatory and amplitude modulated. At certain intermediate sweeping rates the curves are critical-state-like. However, since these rates are a few orders of magnitude higher than those used in conventional experiments, the intergranular critical state shown in HTSC’s cannot be modeled by such a uniform array.