Theory of Fluctuating Charge Ordering in the Pseudogap Phase of the Cuprates Via A Preformed Pair Approach

TL;DR

This paper investigates charge ordering in the pseudogap phase of cuprates using a preformed pair approach, revealing how pairbreaking effects influence observable electronic fluctuations and quantum oscillations.

Contribution

It introduces a density-density correlation function compatible with sum rules, demonstrating the role of pairbreaking in revealing underlying fermiology in the pseudogap state.

Findings

Quantum oscillations can occur in a non-Fermi liquid pseudogap state.

Pairbreaking broadening enables antinodal fluctuations despite a d-wave gap.

The approach links pseudogap behavior with observable charge fluctuations.

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, $\Sigma$ and compatible with the longitudinal and transverse sum rules. The broadening factor $\gamma$ in $\Sigma$ reflects the breaking of pairs into constituent fermions. We apply this form for $\Sigma$ (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 pairbreaking, via $\gamma$, allows the underlying fermiology to be revealed; in YBCO, finite $\omega$ and $\gamma$ enable antinodal fluctuations, despite the competition with a d-wave gap in the static and superconducting limits.