Correlation functions in the three-chain Hubbard ladder

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.

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

References in corpus (11)

• Resonating Valence Bond Theory of Coupled Heisenberg Chains
• Weak Coupling Phase Diagram of the Two Chain Hubbard Model
• Correlations in a two--chain Hubbard model
• Phases of two coupled Luttinger liquids
• Pairing and Excitation Spectrum in doped t-J Ladders
• Evidence for a superfluid density in t--J ladders
• Luttinger liquid behaviour and superconducting correlations in t-J ladders
• The Doped Two Chain Hubbard Model
• Singlet Stripe Phases in the planar t-J Model
• Renormalization-Group Approach to a Three-Legs Fermionic Ladder
• A possible phase diagram of a t-J ladder model

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• Ground State Properties of the Doped 3-Leg t-J Ladder
• Effective actions for spin ladders
• Quantum spin nanotubes -- frustration, competing orders and criticalities
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• Lightly Doped t-J Three-Leg Ladders - an Analog for the Underdoped Cuprates
• Wide applicability of high $T_c$ pairing originating from coexisting wide and incipient narrow bands in quasi one dimension
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• Numerical study of a superconductor-insulator transition in a half-filled Hubbard chain with distant transfers
• Possible high-$T_c$ superconductivity due to incipient narrow bands originating from hidden ladders in Ruddlesden-Popper compounds
• A consistent description of the pairing symmetry in hole and electron doped cuprates within the two dimensional Hubbard model
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• Conductance renormalization and conductivity of a multi-subband Tomonaga-Luttinger model
• Single and Many Particle Correlation Functions and Uniform Phase Bases for Strongly Correlated Systems