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Missing Shapiro steps in nonhysteretic Josephson junction with 2π periodic supercurrent

S. S. Ustavschikov, D. Yu. Vodolazov

DOI 10.1103/PhysRevB.110.184511 · Physical Review B

T1

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Abstract

We theoretically demonstrate that in a nonhysteretic Josephson junction (JJ) with a 2π periodic supercurrent in the presence of radio-frequency (RF) radiation one or several low-lying Shapiro steps could be absent in the voltage-current (VI) characteristic. The effect exists at low RF power and at frequencies f approximately ten times smaller than f0=IcRN/Φ0 (where Ic is the critical current, RN is the normal-state resistance of the Josephson junction, and Φ0 is the magnetic flux quantum). The origin of the effect is related to the large differential resistance Rdiff=dV/dI near I≃Ic, which is significantly greater than the value predicted by the resistively capacitance shunted junction (RCSJ) model in the overdamped limit. Our theoretical results are supported by experiments on Nb/NbSi/Nb Josephson junctions with nonhysteretic VI curves, where we observe the absence of one or more low-lying Shapiro steps, depending on the frequency and power of the RF radiation.

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FormulaReported Tc (K)Pressure (GPa)Type
Nb

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—Pressure not reportedunknown

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