Fractional order Shapiro steps in superconducting nanowires

R. C. Dinsmore; Myung Ho Bae; A. Bezryadin

doi:10.1063/1.3012360

Fractional order Shapiro steps in superconducting nanowires

R. C. Dinsmore, Myung Ho Bae, A. Bezryadin

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Abstract

We expose superconducting nanowires to microwave radiation in order to study phase lock-in effects in quasi-one-dimensional superconductors. For sufficiently high microwave powers a resistive branch with Shapiro steps appears in the voltage-current characteristics. At frequencies in the range of 0.9-4 GHz these steps are of integer order only. At higher frequencies steps of 1/2, 1/3, 1/4, and even 1/6 order appear. We numerically model this behavior using a multivalued current-phase relationship for nanowires.

Original language	English (US)
Article number	192505
Journal	Applied Physics Letters
Volume	93
Issue number	19
DOIs	https://doi.org/10.1063/1.3012360
State	Published - 2008

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Physics and Astronomy (miscellaneous)

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10.1063/1.3012360

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abstract = "We expose superconducting nanowires to microwave radiation in order to study phase lock-in effects in quasi-one-dimensional superconductors. For sufficiently high microwave powers a resistive branch with Shapiro steps appears in the voltage-current characteristics. At frequencies in the range of 0.9-4 GHz these steps are of integer order only. At higher frequencies steps of 1/2, 1/3, 1/4, and even 1/6 order appear. We numerically model this behavior using a multivalued current-phase relationship for nanowires.",

author = "Dinsmore, {R. C.} and Bae, {Myung Ho} and A. Bezryadin",

note = "Funding Information: The authors thank R. Giannetta for useful discussions. This work was supported by the U.S. Department of Energy under Grant No. DE-FG02–07ER46453. This work was carried out in part in the Frederick Seitz Materials Research Laboratory Central Facilities, University of Illinois, which are partially supported by the U.S. Department of Energy under Grant Nos. DE-FG02–07ER46453 and DE-FG02–07ER46471. M.-H.B wants to thank the Korea Research Foundation Grant No. KRF-2006-352-C00020.",

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N2 - We expose superconducting nanowires to microwave radiation in order to study phase lock-in effects in quasi-one-dimensional superconductors. For sufficiently high microwave powers a resistive branch with Shapiro steps appears in the voltage-current characteristics. At frequencies in the range of 0.9-4 GHz these steps are of integer order only. At higher frequencies steps of 1/2, 1/3, 1/4, and even 1/6 order appear. We numerically model this behavior using a multivalued current-phase relationship for nanowires.

AB - We expose superconducting nanowires to microwave radiation in order to study phase lock-in effects in quasi-one-dimensional superconductors. For sufficiently high microwave powers a resistive branch with Shapiro steps appears in the voltage-current characteristics. At frequencies in the range of 0.9-4 GHz these steps are of integer order only. At higher frequencies steps of 1/2, 1/3, 1/4, and even 1/6 order appear. We numerically model this behavior using a multivalued current-phase relationship for nanowires.

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Fractional order Shapiro steps in superconducting nanowires

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