title: Broad peak in the dx2-y2 superconducting correlation length as a function of hole concentration in the two-dimensional t-J model.
abstract: We have calculated high temperature series to 12th order in inverse temperature for singlet superconducting correlation functions of the 2D t-J model with s, dx2-y2, and dxy symmetry pairs. Our calculations differ from previous work by removing disconnected pieces from the original four-point correlator and by treating the resulting pairing correlator as a matrix. We find the correlation length for dx2-y2 pairing grows significantly with decreasing temperature and develops a broad peak as a function of doping around delta=0.25 for T/J=0.25 at J/t=0.4. The correlation lengths for s and dxy symmetry remain small and do not display peaks. Antiferromagnetic spin correlations at low doping act to suppress the dx2-y2 and dxy superconducting correlation lengths.
authors.affiliation: Physics Department, The Ohio State University, 1680 University Drive, Mansfield, Ohio 44906, USA.
authors.forename: W O
authors.initials: WO
authors.lastname: Putikka
authors.forename: M U
authors.initials: MU
authors.lastname: Luchini