%0 Journal Article
%T Perturbation Analysis of Superconductivity in the Trellis-Lattice Hubbard Model
%A Sotaro Sasaki
%A Hiroaki Ikeda
%A Kosaku Yamada
%J Physics
%D 2004
%I arXiv
%R 10.1143/JPSJ.73.2822
%X We investigate pairing symmetry and transition temperature in the trellis-lattice Hubbard model. We solve the \'Eliashberg equation using the third-order perturbation theory with respect to the on-site repulsion $U$. We find that a spin-singlet state is very stable in a wide range of parameters. On the other hand, when the electron number density is shifted from the half-filled state and the band gap between two bands is small, a spin-triplet superconductivity is expected. Finally, we discuss a possibility of unconventional superconductivity and pairing symmetry in Sr$_{14-x}$Ca$_x$Cu$_{24}$O$_{41}$.
%U http://arxiv.org/abs/cond-mat/0405307v2