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Correlation functions in the three-chain Hubbard ladder

Takashi Kimura·Kazuhiko Kuroki·Hideo Aoki
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Abstract

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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Takashi Kimura, Kazuhiko Kuroki, Hideo Aoki. 1996-08-27. Correlation functions in the three-chain Hubbard ladder. https://doi.org/10.1103/physrevb.54.r9608

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