In order to check whether odd-numbered Tomonaga-Luttinger ladders are dominated by antiferromagnetic correlations associated with gapless spin excitations, correlation functions of the doped three-chain Hubbard model are obtained with the bosonization at the renormalization-group fixed point. The correlation of the singlet superconducting pairing across the central and edge chains is found to be dominant, reflecting two gapful spin modes, while the intra-edge spin density wave correlation, reflecting the gapless mode, is only subdominant. This implies that, when there are multiple spin modes, a dominant superconductivity can arise from the presence of {\it some} spin gap(s) despite the coexistence of power-law correlated spins.
@article{arxiv.cond-mat/9608126,
title = {Correlation functions in the three-chain Hubbard ladder},
author = {Takashi Kimura and Kazuhiko Kuroki and Hideo Aoki},
journal= {arXiv preprint arXiv:cond-mat/9608126},
year = {2009}
}
Comments
10 pages, revtex, to appear in Physical Review B as a Rapid Communication