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We have calculated high temperature series to 12th order in inversetemperature for singlet superconducting correlation functions of the 2D t-Jmodel with s-, d_{x^2-y^2}- and d_xy-symmetry pairs. We find the correlationlength for d_{x^2-y^2} pairing grows strongly with decreasing temperature anddevelops a broad peak as a function of doping at T/J=0.25 for J/t=0.4. Thecorrelation lengths for s- and d_xy-symmetry remain small and do not displaypeaks. Antiferromagnetic spin fluctuations at low doping act to suppress thed_{x^2-y^2} and d_xy superconducting correlation lengths. Our results supportthe hypothesis that the strong electronic correlations found in the CuO_2planes of high temperature superconductors are the origin of thesuperconducting order.Comment: 4 pages, 4 eps figure

physical review letters

Broad Peak in the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msub><mml:mi>d</mml:mi><mml:mrow><mml:msup><mml:mi>x</mml:mi><mml:mn>2</mml:mn></mml:msup><mml:mo>−</mml:mo><mml:msup><mml:mi>y</mml:mi><mml:mn>2</mml:mn></mml:msup></mml:mrow></mml:msub></mml:math>Superconducting Correlation Length as a Function of Hole Concentration in the Two-Dimensional<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>t</mml:mi><mml:mtext …

Broad Peak in thedx2−y2Superconducting Correlation Length as a Function of Hole Concentration in the Two-Dimensionalt