Fractional order Shapiro steps in superconducting nanowires

Dinsmore, R. C.; Bae, Myung‐Ho; Bezryadin, Alexey

doi:10.1063/1.3012360

Cited by 42 publications

(33 citation statements)

References 28 publications

(35 reference statements)

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“…These observations strongly indicate that the same physics for the transition out of the SCS to the JNS for P < P * and out of the SCS to the PSC for P > P * is involved. The Shapiro steps occur due to synchronization of the superconducting phase difference rotation with the applied high-frequency MW radiation and were discussed in detail in [17]. The steps appear at voltage values given by 2 eV = nh f , as expected, where e is the elementary charge, n is an integer number andh is the Plank constant.…”

Section: Fabrication and Measurementsmentioning

confidence: 56%

Stochastic and deterministic phase slippage in quasi-one-dimensional superconducting nanowires exposed to microwaves

et al. 2012

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We study current-voltage (V-I) characteristics of short superconducting nanowires of length ∼ 100 nm exposed to microwave (MW) radiation of frequencies between 2 and 15 GHz. The radiation causes a decrease of the average switching current of the wire. This suppression of the switching current is modeled assuming that there is one-to-one correspondence between Little's phase slips, which are microscopic stochastic events induced by thermal and quantum fluctuations, and the experimentally observed switching events. We also find that at some critical power P * of the radiation a dissipative dynamic superconducting state occurs as an extra step on the V-I curve. It is identified as a phase slip center (PSC), which is essentially a deterministic and periodic in-time phase rotation. With the dependence of the switching currents and the standard deviations observed at the transitions: (i) from the supercurrent state to the normal state and (ii) from the supercurrent state to the PSC regime, we conclude that both of the two types of switching events are triggered by the same microscopic event, namely a single-phase slip. We show that the Skocpol-Beasley-Tinkham model is not applicable to our MW-driven PSCs, probably due to the tendency of the PSC to synchronize with the MW. Through the analysis of the switching current distributions at a sufficiently low temperature, we also present evidence that quantum phase slips play a role in switching events even under MWs.

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Section: Fabrication and Measurementsmentioning

confidence: 56%

Stochastic and deterministic phase slippage in quasi-one-dimensional superconducting nanowires exposed to microwaves

et al. 2012

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“…The model also indicates non-monotonic temperature dependence of the width of the distribution of switching currents. Thus, these experiments with switching events as well as those with microwave radiation in unshunted wires suggest that the resistive state is the normal state of the wire maintained by Joule heating, i.e., the Joule heating normal state (JHNS) 10,11,26,60 . For unshunted wires, the retrapping process is non-stochastic since the retrapping occurs from the thermalized Joule heating state.…”

Section: A Unshunted Nanowiresmentioning

confidence: 99%

Dynamics of superconducting nanowires shunted with an external resistor

et al. 2012

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We present the first study of superconducting nanowires shunted with an external resistor, geared towards understanding and controlling coherence and dissipation in nanowires. The dynamics is probed by measuring the evolution of the V -I characteristics and the distributions of switching and retrapping currents upon varying the shunt resistor and temperature. Theoretical analysis of the experiments indicates that as the value of the shunt resistance is decreased, the dynamics turns more coherent presumably due to stabilization of phase-slip centers in the wire and furthermore the switching current approaches the Bardeen's prediction for equilibrium depairing current. By a detailed comparison between theory and experiment, we make headway into identifying regimes in which the quasi-one-dimensional wire can effectively be described by a zero-dimensional circuit model analogous to the RCSJ (resistively and capacitively shunted Josephson junction) model of Stewart and McCumber. Besides its fundamental significance, our study has implications for a range of promising technological applications.

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“…Due to the great significance of technical applications of phase locking effects, the amplitude and frequency dependence have particularly been a matter of many theoretical and experimental studies in Josephson-junction arrays (JJA), 6 charge density waves (CDW), 7 and superconducting nanowires. 8 In order to gain an insight into physics of these complex macroscopic many-body systems with competing interactions, attention has been always focused on simple many-body models. Among these models, the dissipative (overdamped) Frenkel-Kontorova (FK) model is one of the simplest but still complex a) Author to whom correspondence should be addressed.…”

Section: Introductionmentioning

confidence: 99%

Ratchet effect and amplitude dependence of phase locking in a two-dimensional Frenkel-Kontorova model

Wang

Tekić

Duan

et al. 2013

The Journal of Chemical Physics

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We demonstrate the ratchet and phase locking effects in a two-dimensional overdamped Frenkel-Kontorova model with a square symmetric periodic substrate when both a longitudinal dc drive and a circular ac drive are applied. Besides the harmonic steps, the large half integer steps can also clearly be seen in the longitudinal (x) direction. These half integer steps are directly correlated to the appearance of positive and negative ratchet effects in the transverse (y) direction due to the symmetry breaking in the combination of the dc and ac drives. The angle between the net displacement and the longitudinal direction is analytically obtained in a single period of the ac drive. In the examination of the amplitude dependence of the ac drive, the maxima decrease monotonically with the amplitude, while the anomalies occur for the critical depinning force and the harmonic steps due to the spatial symmetry breaking of orbits in the presence of the ac drive.

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Fractional order Shapiro steps in superconducting nanowires

Cited by 42 publications

References 28 publications

Stochastic and deterministic phase slippage in quasi-one-dimensional superconducting nanowires exposed to microwaves

Stochastic and deterministic phase slippage in quasi-one-dimensional superconducting nanowires exposed to microwaves

Dynamics of superconducting nanowires shunted with an external resistor

Ratchet effect and amplitude dependence of phase locking in a two-dimensional Frenkel-Kontorova model

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