Broad Peak in the d_{x^2-y^2} Superconducting Correlation Length as a Function of Hole Concentration in the Two-Dimensional t-J Model

TL;DR

This study uses high-temperature series analysis to investigate the doping dependence of d_{x^2-y^2} superconducting correlations in the 2D t-J model, revealing a peak in correlation length at specific doping levels.

Contribution

It provides the first detailed analysis of the doping dependence of superconducting correlation lengths in the 2D t-J model using high-temperature series expansion.

Findings

d_{x^2-y^2} correlation length peaks at optimal doping

s- and d_{xy}-symmetry correlations remain small

antiferromagnetic fluctuations suppress superconducting correlations

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-, d_{x^2-y^2}- and d_xy-symmetry pairs. We find the correlation length for d_{x^2-y^2} pairing grows strongly with decreasing temperature and develops a broad peak as a function of doping at T/J=0.25 for J/t=0.4. The correlation lengths for s- and d_xy-symmetry remain small and do not display peaks. Antiferromagnetic spin fluctuations at low doping act to suppress the d_{x^2-y^2} and d_xy superconducting correlation lengths. Our results support the hypothesis that the strong electronic correlations found in the CuO_2 planes of high temperature superconductors are the origin of the superconducting order.