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We measure the local harmonic generation from an YBa_2Cu_3O_(7-d)(YBCO)bi-crystal grain boundary to examine the local Josephson nonlinearities.Spatially resolved images of second and third harmonic signals generated by thegrain boundary are shown. The harmonic generation and the vortex dynamics alongthe grain boundary are modeled with the Extended Resistively Shunted Josephson(ERSJ) array model, which shows reasonable agreement with the experimentaldata. The model also gives qualitative insight into the vortex dynamics inducedin the junction by the probing current distribution. A characteristicnonlinearity scaling current density JNL ~ 1.5 x 10^5 A/cm^2 for the Josephsonnonlinearity is also extracted.Comment: 10 pages, including 12 figures, submitted to PR

physical review. b, condensed matter and materials physics

Microwave nonlinearities of an isolated long<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mi mathvariant="normal">Y</mml:mi><mml:msub><mml:mi>Ba</mml:mi><mml:mn>2</mml:mn></mml:msub><mml:msub><mml:mi>Cu</mml:mi><mml:mn>3</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mrow><mml:mn>7</mml:mn><mml:mo>−</mml:mo><mml:mi>δ</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math>bicrystal grain boundary

Microwave nonlinearities of an isolated longYBa2Cu3O7−δbicrystal grain boundary