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Assuming a spin liquid which supports pairwise confined spinon and holon excitations, we derive a general relation between the weight of the coherent quasiparticle zA near the X point in the Brillouin zone and the superfluid density ns reflected in the c-axis penetration depth λc in CuO superconductors: ns∝ 1/λc2 ∝ (x·zA2)/Δ, where x is the doping and Δ the (superconducting) energy gap. Assuming further that the superconducting transition is driven by phase fluctuation, we find that the weight of the magnetic resonance peak zB is proportional to zA as a function of the temperature T, and zB/∝ (1-2x) as a function of doping. We report excellent and universal agreement with experiment. |
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