Self-consistent calculations of superconductivity in a nearly antiferromagnetic Fermi liquid
St. Lenck, J. P. Carbotte, R. C. Dynes
DOI 10.1103/PhysRevB.50.10149 · Physical Review B
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Abstract
Within a Hubbard model with on-site repulsion U and nearest-neighbor hopping t¯ in the two-dimensional copper oxide plane, we have carried out self-consistent calculations of the superconducting critical temperature Tc resulting from spin and charge fluctuations. The gap is found to have dx2-y2 symmetry and Tc≃0.016t¯. Superconductivity exists only for a narrow range of U, very near the antiferromagnetic instability (Uc). In this region near Uc, the Stoner enhancement in the incommensurate peaks of the spin susceptibility near (π,π) is of order 100–200. The absolute size of the peaks at Tc is of the same order as measured, as is also the relative height of peaks to background. However, the theory predicts a suppression of these structures as T is reduced below Tc which is much faster than observed.
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