Series Study of Superconducting Correlations in the 2D t-J Model

By calculating 12th order high temperature series for all spin singlet pairing correlation functions (s-wave, d$_{x^2-y^2}$ and d$_{xy}$), I investigate the possiblity of superconductivity in the 2D t-J model. In generating the series I allow the pairs to be any size that contributes to the 12th order series. Summing up all contributions, I find a strong $R=0$ response for d$_{x^2-y^2}$ symmetry, but with $R>0$ the correlation function is very small. The $R=0$ response can be shown to be primarily a sum of two point correlators and is thus not indicative of long range superconducting order. By holding the internal degrees of freedom of the pairs fixed I further investigate the $R>0$ correlations. I will discuss the results of these calculations for all symmetries mentioned above.