Development of superconducting correlation at low temperatures in the two-dimensional t-J model

Details Development of superconducting correlation at low temperatures in the two-dimensional t-J model Development of superconducting correlation at low temperatures in the two-dimensional t-J model

2005-05-25

arxiv.org/abs/cond-mat/0505618v1

J. Phys. Soc. Japan 74, 1390 (2005)

Physics

Condensed Matter

Strongly Correlated Electrons

4 pages, 5 figures

Scientific paper

10.1143/JPSJ.74.1390

The equal-time pairing correlation function of the two-dimensional t-J model on a square lattice is studied using a high-temperature expansion method. The sum of the pairing correlation, its spatial dependence, and the correlation length are obtained as functions of temperature down to $T \simeq 0.2 t$. By comparison of single-particle contributions in the correlation functions, we find an effective attractive interaction between quasi-particles in $d_{x^2-y^2}$-wave pairings. It is shown that d-wave correlation grows rapidly at low temperatures for 0.5 < n < 0.9, with n being the electron density. The temperature for this growth is roughly scaled by J/2. This is in sharp contrast to the Hubbard model in a weak or intermediate coupling region, where there is no numerical evidence of superconductivity.

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