Absence of Luther-Emery Superconducting Phase in the Three-Band Model for Cuprate Ladders

Abstract

Correlated-electron theories of superconductivity in layered cuprates often start from the premise of a gapped spin-liquid phase proximate to the superconducting state. This assumption is justified based on analytical and numerical demonstrations of a superconducting Luther-Emery phase in the doped 2-leg one-band Hubbard ladder, and the perceived analogy between coupled ladders and the two dimensional CuO2 layer. We demonstrate from accurate density matrix renormalization group studies the absence of the superconducting Luther-Emery phase in the doped 2-leg three-band ladder consisting of both copper and oxygen, even as the spin gap is large in the undoped three-band ladder. For realistic oxygen-oxygen hopping and Hubbard repulsion on the oxygen atoms, density-density rather than pairing correlations are dominant at long range. This result is equally valid whether or not the oxygens outside the ladder proper, over and above the rung and leg oxygens, are included in the computation. These results demonstrate the critical importance of oxygen orbitals, and raise disturbing questions about the applicability of many of the existing correlated-electron theories of superconductivity.

arXiv comment10 pages, 10 figures

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Cited by in corpus (6)

• Density-matrix-renormalization-group-based downfolding of the three-band Hubbard model: the importance of density-assisted hopping
• Topological Doping and Superconductivity in Cuprates: An Experimental Perspective
• Doping asymmetry in the three-band Hamiltonian for cuprate ladders: failure of the standard model of superconductivity in cuprates
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• Influence of oxygen orbitals and boundary conditions on the pairing behavior in the Emery model for doped ladders