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Bulletin of the American Physical Society

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

W. O. Putikka

Published Mar 24, 2005• 0 citations
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We have calculated high temperature series to 12th order in inverse temperature for singlet superconducting correlation functions of the 2D $t\mathrm{\text{\ensuremath{-}}}J$ model with $s$, ${d}_{{x}^{2}\ensuremath{-}{y}^{2}}$, and ${d}_{xy}$ 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 ${d}_{{x}^{2}\ensuremath{-}{y}^{2}}$ pairing grows significantly with decreasing temperature and develops a broad peak as a function of doping around $\ensuremath{\delta}=0.25$ for $T/J=0.25$ at $J/t=0.4$. The correlation lengths for $s$ and ${d}_{xy}$ symmetry remain small and do not display peaks. Antiferromagnetic spin correlations at low doping act to suppress the ${d}_{{x}^{2}\ensuremath{-}{y}^{x}}$ and ${d}_{xy}$ superconducting correlation lengths.

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Superconducting correlations and thermodynamic properties in 2D square and triangular ttt-JJJ model
We have calculated high temperature series to 12th order in inverse temperature for singlet superconducting correlation functions of the 2D $t\mathrm{\text{\ensuremath{-}}}J$ model with sss, ${d}_{{x}^{2}\ensuremath{-}{y}^{2}}$, and dxy{d}_{xy}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 ${d}_{{x}^{2}\ensuremath{-}{y}^{2}}$ pairing grows significantly with decreasing temperature and develops a broad peak as a function of doping around $\ensuremath{\delta}=0.25$ for T/J=0.25T/J=0.25T/J=0.25 at J/t=0.4J/t=0.4J/t=0.4. The correlation lengths for sss and dxy{d}_{xy}dxy​ symmetry remain small and do not display peaks. Antiferromagnetic spin correlations at low doping act to suppress the ${d}_{{x}^{2}\ensuremath{-}{y}^{x}}$ and dxy{d}_{xy}dxy​ superconducting correlation lengths.