Giant Shapiro steps in Josephson-junction arrays
Thomas C. Halsey
DOI 10.1103/PhysRevB.41.11634 · Physical Review B
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Abstract
Giant Shapiro steps have recently been observed in the I-V characteristics of Josephson-junction arrays, both with and without transverse magnetic fields. For magnetic fluxes per unit cell of the array Φ=(p/q)Φ0, these steps occur at voltages per unit cell of ħω/2eq, where ω is the frequency of the rf field. I present a calculation of this effect, restricted to certain values of f=p/q and certain current directions within the lattice. This calculation leads to results concerning the width of steps as a function of q and as a function of the amplitude of the driving field. It also leads to a prediction of subharmonic steps, at voltages of (ħω/2e)(n/qm).
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