Perturbation Analysis of Superconductivity in the Trellis-Lattice Hubbard Model

Abstract

We investigate pairing symmetry and transition temperature in the trellis-lattice Hubbard model. We solve the Éliashberg 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${}_{41}$.

arXiv comment7pages, 10 figures. To be published in J. Phys. Soc. Jpn

References in corpus (6)

• Weak Coupling Phase Diagram of the Two Chain Hubbard Model
• Theory of Superconductivity in Strongly Correlated Electron Systems
• Superconductivity of the $S{r}_{2}C{a}_{12}C{u}_{24}{O}_{41}$ spin ladder system: Are the superconducting pairing and the spin-gap formation of the same origin?
• Electronic Structures of Sr_{14-x}Ca_{x}Cu24O41
• Effects of Spin Fluctuations in Quasi-One-Dimensional Organic Superconductors
• Perturbation Theory for a Repulsive Hubbard Model in Quasi-One-Dimensional Superconductors

Cited by in corpus (2)

• NMR and NQR study of pressure-induced superconductivity and the origin of critical-temperature enhancement in the spin-ladder cuprate Sr${}_2$Ca${}_{12}$Cu${}_{24}$O${}_{41}$
• Three-Dimensional Multiband d-p Model of Superconductivity in Spin-Chain Ladder Cuprate