Abstract

The magnetic susceptibility of high-${T}_{c}$ superconductors is investigated in the normal state using a coupled bilayer model. While this model describes in a natural way the normal-state pseudogaps seen in $c$-axis optical conductivity on underdoped samples, it predicts a weakly increasing susceptibility with decreasing temperature and cannot explain the magnetic pseudogaps exhibited in NMR measurements. Our result, together with some experimental evidence, suggests that the mechanism governing the $c$-axis optical pseudogap is different from that for the $a$-$b$ plane magnetic pseudogap.

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