Superconducting Gap Nodal Surface and Fermi Surface: their partial overlap in cuprates

Electron correlation in cuprates leads to a global constraint $\sum_{\bf k} Δ_{\bf k} = 0$ on the gap function $Δ_{\bf k}$ resulting in a gap nodal surface. We give physical arguments supported by numerical results and discuss some experimental results to argue that correlations also lead to a local constraint on charge fluctuations in ${\bf k}$-space close to the Fermi surface, which may result in a substantial overlap of the Fermi surface with the gap nodal surface.

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