Resistance steps in underdamped Josephson-junction arrays
Wenbin Yu, D. Stroud
DOI 10.1103/PhysRevB.46.14005 · Physical Review B
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Abstract
The response of N×N underdamped Josephson-junction arrays to dc-current bias and dc-voltage bias is studied numerically. The current-voltage (I-〈V〉) relation reveals a substantial hysteresis. If a dc-current bias is applied to inhomogeneous underdamped arrays (i.e., arrays with a random distribution of junction critical currents), the I-〈V〉 curve exhibits many (but no more than N) steplike increases of resistance, in agreement with experiments of Tighe, Johnson, and Tinkham. These steps are shown to arise from row-switching behavior of the arrays, in which one or several rows of junctions across the width of the array switch simultaneously from a supercurrent state to a resistively dissipative state. If the array is voltage biased rather than current biased, this row-switching behavior is observed even in homogeneous underdamped arrays, in qualitative agreement with the experiments of van der Zant et al. The resistive steps persist in an applied magnetic field and melt at sufficiently high temperature. We find no evidence for row switching in overdamped arrays, whether they are current biased or voltage biased. We speculate briefly about the physical origins of this behavior.
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