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Vortex-Pair Excitation near the Superconducting Transition of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant="normal">Bi</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant="normal">Sr</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math>Ca<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant="normal">Cu</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant="normal">O</mml:mi></mml:mrow><mml:mrow><mml:mn>8</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math>Crystals

Stephen MartinAT&T Bell Laboratories, Murray Hill, New Jersey 07974A. T. FioryAT&T Bell Laboratories, Murray Hill, New Jersey 07974R. M. FlemingAT&T Bell Laboratories, Murray Hill, New Jersey 07974G. P. EspinosaAT&T Bell Laboratories, Murray Hill, New Jersey 07974A. S. CooperAT&T Bell Laboratories, Murray Hill, New Jersey 07974
1989lv
ABI

Abstract

The dissipation observed at the superconducting transition of the high-${T}_{c}$ superconductor ${\mathrm{Bi}}_{2}$${\mathrm{Sr}}_{2}$Ca${\mathrm{Cu}}_{2}$${\mathrm{O}}_{8}$ is explained quantitatively by the Kosterlitz-Thouless theory of vortex-antivortex pair excitations within the Cu${\mathrm{O}}_{2}$ planes. This conclusion is drawn from the observation of an exponential square-root singularity in the resistivity and a power-law dependence of the resistivity on magnetic field. The Kosterlitz-Thouless phase transition (${T}_{c}=84.7$ K) is at the $\ensuremath{\rho}=0$ point, and the mean-field Ginzburg-Landau transition (${T}_{c0}=86.8$ K) at \ensuremath{\sim}25% of the normal-state resistivity.

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