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By feeding current into the topmost $\mathrm{Cu_2O_4}$-layer of a mesa etchedinto the surface of a $\mathrm{Bi_2Sr_2CaCu_2O_{8+x}}$ (BSCCO) single crystal,we measured its superconducting critical value from a sharp upturn or break incurrent-voltage characteristics of the mesas. From this, we estimate the sheetcritical current density of a single $\mathrm{Cu_2O_4}$ plane to be $\sim$\0.3-0.7 A/cm at 4.5 K, corresponding to the bulk current density of $2-5\\mathrm{MA/cm^2}$. These values are among the largest ever measured for BSCCOsingle crystals, thin films and tapes.Comment: 17 pages, 6 figures. submitted to PR

physical review. b, condensed matter and materials physics

Superconducting critical current of a single<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Cu</mml:mi><mml:mn>2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn>4</mml:mn></mml:msub></mml:mrow></mml:math>plane in a<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Bi</mml:mi><mml:mn>2</mml:mn></mml:msub><mml:msub><mml:mi …

Superconducting critical current of a singleCu2O4plane in aBi2