Correlation functions in the three-chain Hubbard ladder

Details Correlation functions in the three-chain Hubbard ladder Correlation functions in the three-chain Hubbard ladder

1996-08-27

arxiv.org/abs/cond-mat/9608126v1

Physics

Condensed Matter

10 pages, revtex, to appear in Physical Review B as a Rapid Communication

Scientific paper

10.1103/PhysRevB.54.R9608

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.

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