Critical-state model for harmonic generation in high-temperature superconductors

Ji, Lü; Sohn, R. H.; Spalding, Gabriel C.; Lobb, C. J.; Tinkham, M.

doi:10.1103/physrevb.40.10936

Cited by 251 publications

(88 citation statements)

References 11 publications

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“…10 This phenomenon is also seen in our simulations at much higher input powers ( > 30 dBm), but does not play a role at the powers used in the experiments (~ 10 dBm).…”

Section: Spatial Distribution Of Harmonic Datasupporting

confidence: 63%

“…3 and 4. It is well known that a purely single-tone AC current-biased single Josephson junction generates harmonics at all odd integer multiples of the driving frequency 10 , which is measured in our data by P 3f . However, to obtain a more realistic and comprehensive understanding of a long weak-link junction, like the YBCO bi-crystal grain boundary, the Extended Resistively Shunted Josesphson (ERSJ) junction array model is introduced.…”

Section: Model -Extended Resistively Shunted Josephson Junction (Ersj)mentioning

confidence: 60%

“…6,7,8,9 On the other hand, extrinsic sources of nonlinearities dominate the nonlinear response of superconductors in most cases. They include grain boundaries, 10,11 enhanced edge currents, 12,13,14,15,16 and weakly coupled grains, 17,18,19,20,21,22,23,24 . A number of experiments have been conducted to understand and characterize the nonlinear properties of one of these sources by measuring artificially-prepared features, e.g.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Microwave nonlinearities of an isolated longYBa2Cu3O7−δbicrystal grain boundary

Lee

Anlage

2005

Phys. Rev. B

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We measure the local harmonic generation from an YBa 2 Cu 3 O 7-δ (YBCO) bi-crystal grain boundary to examine the local Josephson nonlinearities. Spatially resolved images of second and third harmonic signals generated by the grain boundary are shown. The harmonic generation and the vortex dynamics along the grain boundary are modeled with the Extended Resistively Shunted Josephson (ERSJ) array model, which shows reasonable agreement with the experimental data. The model also gives qualitative insight into the vortex dynamics induced in the junction by the probing current distribution. A characteristic nonlinearity scaling current density J NL ~ 5 10 5 . 1 × A/cm 2 for the Josephson nonlinearity is also extracted.

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“…10 This phenomenon is also seen in our simulations at much higher input powers ( > 30 dBm), but does not play a role at the powers used in the experiments (~ 10 dBm).…”

Section: Spatial Distribution Of Harmonic Datasupporting

confidence: 63%

Section: Model -Extended Resistively Shunted Josephson Junction (Ersj)mentioning

confidence: 60%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Microwave nonlinearities of an isolated longYBa2Cu3O7−δbicrystal grain boundary

Lee

Anlage

2005

Phys. Rev. B

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“…This is very different from the reported results, where either the critical state model or the flux creep one was used for the whole of a ͑T͒ curve. 18,22 Shown in Fig. 2 are the polar plots 1 Љ− 1 Ј and 3 Љ− 3 Ј.…”

Section: Resultsmentioning

confidence: 99%

Third harmonics due to surface barrier in high-temperature superconductor

Zhang

Leng

et al. 2005

Journal of Applied Physics

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The influence of surface barrier on the third harmonics ac susceptibility ͑ 3 ͒ is studied numerically. The surface barrier is described by a critical current density in surfaces which are higher than the inside one. The model can act as the critical state one, the flux creep one, or the flux flow one when temperature ͑or field͒ changes. The numerical results based on the model are more close to the popular experimental data probing the harmonics as a function of temperature ͑or field͒. Besides, the surface barrier will lead to new peaks in the real and imaginary parts of the third harmonics, which are the finger signature of the surface barrier. Comparison of the peaks with those of the real part of elemental harmonic shows that they are located at the same temperature where dips in Ј caused by the surface barrier occur, which is in well agreement with experiments.

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“…The contribution of bulk pinning, within the criticalstate model, 13,14 is by far the most studied. In this case, when the critical current is independent of the magnetic flux B ͑Bean model͒, the hysteresis cycles display symmetric increasing and decreasing field branches, so that even harmonics are predicted to be zero.…”

Section: Discussionmentioning

confidence: 99%