rf impedance of superconducting weak links

Auracher, F.; Duzer, T. Van

doi:10.1063/1.1662270

Cited by 79 publications

(34 citation statements)

References 4 publications

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“…16 For example, if a Josephson junction is driven by an external ac ͑microwave͒ field, characteristic features ͑such as alteration of the overall shape of the current-voltage characteristics with the microwave power and the appearance of Shapiro steps 17 corresponding to phase locking of the Josephson oscillator to the ac field͒ are observed and have been explained, for example, in Refs. 5 and 18-21.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear impedance of a microwave-driven Josephson junction with noise

2000

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The nonlinear impedance of a point Josephson junction is calculated under various conditions for the resistively shunted junction model in the presence of noise. The calculation proceeds by solving the Langevin equation for the mechanical problem of a Brownian particle in a tilted cosine potential in the presence of a strong ac force ignoring inertial effects. The exact solution of the infinite hierarchy of equations for the moments ͑expectation values of the Fourier components of the phase angle͒, which describe the dynamics of the junction, is expressed in terms of a matrix continued fraction. This solution allows one to evaluate the nonlinear response of the junction ͑nonlinear microwave impedance, for example͒ to an ac microwave current of arbitrary amplitude. Strong nonlinear effects in the resistance and the reactance are observed for large ac currents as is demonstrated by plotting the nonlinear response characteristics as a function of the model parameters. For weak ac currents and low noise strengths, our results agree closely with previously available linear response and nonlinear response noiseless solutions, respectively. Applications of the model to the interpretation of recent experimental data found in the literature for the nonlinear behavior of microwave impedance of superconducting weak links are discussed.

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Section: Introductionmentioning

confidence: 99%

Nonlinear impedance of a microwave-driven Josephson junction with noise

2000

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“…As it was mentioned in the introduction the signal acting on the nonlinear element can be expressed for the most [44], [57] and then in [59], [61], [62]. This phenomenon is absent in usual parametric systems in which an occurrence of negative resistance in the absence of exact coincidence of signal and pump frequencies is possible only in the presence of other frequency components [9]- [11].…”

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confidence: 99%

S-c-S junctions as nonlinear elements of microwave receiving devices

Vystavkin¹,

Gubankov²,

Kuzmin³

et al. 1974

Rev. Phys. Appl. (Paris)

122

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The analysis of possible phenomena in the superconductor-constriction-superconductor (S-c-S) junctions inserted into microwave circuits is carried out. The results of experiments in which properties of the junctions making them different in comparison with usual nonlinear microwave elements were studied are discussed. The characteristics of receiving devices such as amplifiers, detectors and converters operating on the basis of these phenomena are obtained. The limit characteristics of these devices in different regimes of operation are analysed and compared with experimentally achieved characteristics. It is shown that the noise properties of the receiving devices utilizing the S-c-S junctions close to ideal can be obtained for the frequencies lower than characteristic frequency of the junction. This frequency for known realizations of the S-c-S junctions (point contacts and thin film bridges of small dimensions) can reach of order of 500-1 000 GHz or in other words of the middle of the submillimeter waveband range

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“…8 The non-Josephson radiation was first detected in 1966 from a single point-contact Josephson junction coupled to a rectangular cavity. 9 Further theoretical investigations were performed by Auracher and Van Duzer 10 and experiments by Kanter. 11 The parametric negativeresistance effect generated by the quantum-phase-dependent inductance of the Josephson junction L J , was considered to be the explanation of the self-induced steps and of the nonJosephson oscillation. The standard parametric amplifier theory applies if the impedance of the intrinsic inductance L J for alternating currents is quite large compared to the external impedance.…”

mentioning

confidence: 99%

Compact tunable sub-terahertz oscillators based on Josephson junctions

Müller¹,

Scheller²,

Semenov³

et al. 2011

Applied Physics Letters

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Essential applications of terahertz technology are urgently in need of compact, tunable solid-state continuous wave radiation sources. However, no satisfactory solution is yet available for the frequency range of up to approximately 1.0 THz. Here, we present coherent radiation from large series arrays of Josephson junctions between 0.1 and 0.25 THz with off-chip radiation power of 7 μW. Niobium junctions oscillate at 4.2 K and the detection has been done at room temperature. The well-known obstacle to impedance matching is overcome by utilizing the excited resonances in the junction substrates serving as dielectric resonator antennae.

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rf impedance of superconducting weak links

Cited by 79 publications

References 4 publications

Nonlinear impedance of a microwave-driven Josephson junction with noise

Nonlinear impedance of a microwave-driven Josephson junction with noise

S-c-S junctions as nonlinear elements of microwave receiving devices

Compact tunable sub-terahertz oscillators based on Josephson junctions

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