Vortex radiation in long narrow Josephson junctions: Theory and experiment

Abdumalikov, A. A.; Fistul, M. V.; Ustinov, A. V.

doi:10.1103/physrevb.72.144526

Cited by 11 publications

(16 citation statements)

References 22 publications

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“…[1][2][3][4][5] Development of the nonlocal electrodynamics of these junctions is still in progress and is a subject of growing theoretical and experimental interest. [6][7][8][9] In particular, it was shown that the nonlocality caused by the stray fields slows down the electromagnetic waves propagating along the junction. 3 This effect leads to an interesting and important result-Cherenkov radiation by fast moving Josephson vortices.…”

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confidence: 99%

“…3 This effect leads to an interesting and important result-Cherenkov radiation by fast moving Josephson vortices. 3,9 The features of the edge-type junctions such as large I c R products and low noise are attractive for applications. 10 Nonlocality caused by the long-range stray fields is especially important for physics of series of interchanging 0-and -shifted junctions.…”

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confidence: 99%

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Edge-type Josephson junctions in narrow thin-film strips

2008

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We study the field dependence of the maximum current I m ͑H͒ in narrow edge-type thin-film Josephson junctions. We calculate I m ͑H͒ within nonlocal Josephson electrodynamics taking into account the stray fields. These fields affect the difference of phases of the order parameter across the junction and therefore the tunneling currents. We find that the phase difference along the junction is proportional to the applied field, depends on the junction geometry, but is independent of the Josephson critical current density, i.e., it is universal. An explicit formula for this universal function is derived and used to calculate I m ͑H͒. It is shown that the maxima of I m ͑H͒ ϰ 1 / ͱ H and the zeros of I m ͑H͒ are equidistant only in high fields. We find that the spacing between the zeros is proportional to 1 / w 2 , where w is the width of the junction. The general approach is applied to calculate I m ͑H͒ for a superconducting quantum interference device ͑SQUID͒ with two narrow edge-type junctions.Physics of the edge-type thin-film Josephson junctions ͑two films in the ͑x , y͒ plane touching only along the edges at x = 0 with no overlap as shown in Fig. 1͒ differs significantly from that of the junctions with bulk banks. The main reason for this difference is the effect of the stray fields on the tunneling currents in the junction and on the screening currents in its banks. As a result, the phase difference across the junction, ͑y͒, is described by an integral equation, i.e., the Josephson electrodynamics of edge-type thin-film junctions is nonlocal. [1][2][3][4][5] Development of the nonlocal electrodynamics of these junctions is still in progress and is a subject of growing theoretical and experimental interest. 6-9 In particular, it was shown that the nonlocality caused by the stray fields slows down the electromagnetic waves propagating along the junction. 3 This effect leads to an interesting and important result-Cherenkov radiation by fast moving Josephson vortices. 3,9 The features of the edge-type junctions such as large I c R products and low noise are attractive for applications. 10 Nonlocality caused by the long-range stray fields is especially important for physics of series of interchanging 0-and -shifted junctions. 6-8 If the length scale of the 0-and -shifted fragments is much less than the Josephson length, these systems behave as anomalous Josephson junctions with critical current density alternating along the junction. This anomaly results in appearance of spontaneous flux, splinter vortices carrying nonquantized flux, and peculiar dependencies of the maximum current I m ͑H͒ on the applied field. These effects have been studied in asymmetric grain boundaries in thin YBCO films, superconductor-ferromagnet-superconductor, superconductor-insulatorferromagnet-superconductor heterostructures, and YBCO/Nb zigzag junctions. [6][7][8][11][12][13][14][15][16] The phase distribution ͑y͒ along edge-type thin-film junctions ͑ӷd͒ has an intrinsic length scale,where g c is the critical sheet current density of the ...

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Edge-type Josephson junctions in narrow thin-film strips

2008

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“…1(b)]. Here we recall that several systems governed by the SG equation show evidence of soliton motion, including not only JJs [70][71][72][73][74][75][76] but also the relativistic field theory, mechanical transmission lines, and atomic, particle, and condensed matter physics. A peculiar dynamics is also present in the superconducting device analyzed in this work.…”

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confidence: 99%

Switching times in long-overlap Josephson junctions subject to thermal fluctuations and non-Gaussian noise sources

2014

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We investigate the superconducting lifetime of long current-biased Josephson junctions, in the presence of Gaussian and non-Gaussian noise sources. In particular, we analyze the dynamics of a Josephson junction as a function of the noise signal intensity, for different values of the parameters of the system and external driving currents. We find that the mean lifetime of the superconductive state is characterized by nonmonotonic behavior as a function of noise intensity, driving frequency, and junction length. We observe that these nonmonotonic behaviors are connected with the dynamics of the junction phase string during the switching towards the resistive state. An important role is played by the formation and propagation of solitons, with two different dynamical regimes characterizing the dynamics of the phase string. Our analysis allows to evidence the effects of different bias current densities, that is a simple spatially homogeneous distribution and a more realistic inhomogeneous distribution with high current values at the edges. Stochastic resonant activation, noise-enhanced stability, and temporary trapping phenomena are observed in the system investigated.

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“…As a result, the drop of the orderparameter phase across the superconducting banks is defined by an integral equation. [1][2][3][4][5][6][7][8] The kernel of this equation depends on the tunneling characteristics and on the spatial distribution of the stray fields at the film surfaces. In other words, electrodynamics in edge-type thin-film Josephson junctions is nonlocal.…”

Section: Introductionmentioning

confidence: 99%

Thin-film Josephson junctions with alternating critical current density

Moshe¹,

Kogan²,

Mint︠s︡³

2009

Phys. Rev. B

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We study the field dependence of the maximum current I m ͑H͒ in narrow edge-type thin-film Josephson junctions with alternating critical current density. I m ͑H͒ is evaluated within nonlocal Josephson electrodynamics taking into account the stray fields that affect the difference of the order-parameter phases across the junction and therefore the tunneling currents. We find that the phase difference along the junction is proportional to the applied field, depends on the junction geometry, but is independent of the Josephson critical current density g c , i.e., it is universal. An explicit form for this universal function is derived for small currents through junctions of the width W Ӷ⌳, the Pearl length. The result is used to calculate I m ͑H͒. It is shown that the maxima of I m ͑H͒ ϰ 1 / ͱ H and the zeros of I m ͑H͒ are equidistant but only in high fields. We find that the spacing between zeros is proportional to 1 / W 2 . The general approach is applied to calculate I m ͑H͒ for a superconducting quantum interference device with two narrow edge-type junctions. If g c changes sign periodically or randomly, as it does in grain boundaries of high-T c materials and superconductor-ferromagnetsuperconductor heterostructures, I m ͑H͒ not only acquires the major side peaks, but due to nonlocality the following peaks decay much slower than in bulk junctions.

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Vortex radiation in long narrow Josephson junctions: Theory and experiment

Cited by 11 publications

References 22 publications

Edge-type Josephson junctions in narrow thin-film strips

Edge-type Josephson junctions in narrow thin-film strips

Switching times in long-overlap Josephson junctions subject to thermal fluctuations and non-Gaussian noise sources

Thin-film Josephson junctions with alternating critical current density

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