d_{x²-y²}- vs. d_{xy}- like pairings in organic superconductors kappa-(BEDT-TTF)₂ X

Pairing symmetry in $\kappa$-(BEDT-TTF)$_2$X is re-examined by applying fluctuation exchange method to the Hubbard model on the original four band lattice for the first time. Our study is motivated by the discrepancy between a recent thermal conductivity/tunneling spectroscopy experiments and the previous theories based on the effective single or two band model. In contrast to the previous theories, we find that $d_{x^2-y^2}$-like pairing dominates over $d_{xy}$ in agreement with recent experiments. Our study provides a general lesson that even if the Fermi surface seems to be reproduced by an effective model, the pairing symmetry can be different from that of the original system.