Abstract
We study the static and dynamic behavior of charge ordering within a $d$-wave pair pseudogap (pg) scenario. This is addressed using a density-density correlation function derived from the standard pg self-energy $\ensuremath{\Sigma}$ and compatible with the longitudinal and transverse sum rules. The broadening factor $\ensuremath{\gamma}$ in $\ensuremath{\Sigma}$ reflects the breaking of pairs into constituent fermions. We apply this form for $\ensuremath{\Sigma}$ (derived elsewhere for high fields) to demonstrate the existence of quantum oscillations in a non-Fermi liquid pg state. Our conclusion is that the pseudogap-induced pair breaking, via $\ensuremath{\gamma}$, allows the underlying fermiology to be revealed; $d$-wave (as distinct from $s$-wave) pairing in YBCO, with finite $\ensuremath{\omega}$ and $\ensuremath{\gamma}$ enables antinodal fluctuations, despite their competition in the static and superconducting limits.
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