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The critical current density flowing across low angle grain boundaries inYBa$_2$Cu$_3$O$_{7-\delta}$ thin films has been studied magnetometrically.Films (200 nm thickness) were deposited on SrTiO$_3$ bicrystal substratescontaining a single [001] tilt boundary, with angles of 2, 3, 5, and 7 degrees,and the films were patterned into rings. Their magnetic moments were measuredin applied magnetic fields up to 30 kOe at temperatures of 5 - 95 K; currentdensities of rings with or without grain boundaries were obtained from amodified critical state model. For rings containing 5 and 7 degree boundaries,the magnetic response depends strongly on the field history, which arises inlarge part from self-field effects acting on the grain boundary.Comment: 8 pages, including 7 figure

physical review. b, condensed matter and materials physics

Self-organized current transport through low-angle grain boundaries in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant="normal">YBa</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant="normal">Cu</mml:mi></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant="normal">O</mml:mi…

Self-organized current transport through low-angle grain boundaries inYBa2Cu3O