The Cuprate Pseudogap: Competing Order Parameters or Precursor Superconductivity

TL;DR

This paper compares competing theories for the pseudogap in cuprate superconductors by analyzing superfluid density measurements, finding evidence favoring an intrinsic origin of the pseudogap over extrinsic competing order parameters.

Contribution

It provides a detailed comparison of extrinsic and intrinsic pseudogap theories using superfluid density data, supporting the intrinsic scenario as more consistent with observations.

Findings

Superfluid density data favors intrinsic pseudogap models.

Extrinsic models show more deviation from BCS-like behavior.

Results challenge the competing order parameter hypothesis.

Abstract

In this paper we compare two broad classes of theories for the pseudogap in cuprate superconductors. The comparison in made in reference to measurements of the superfluid density, $\rho_s(T,x)$, in $YBa_2CuO_{7- \delta}$ films having a wide range of stoichiometries, $\delta$, or, hole doping, $x$. The theoretical challenge raised by these (and previous) data is to understand why the T-dependence of $\rho_s(T,x)$ is insensitive to the fermionic excitation gap $\Delta(T,x)$, which opens in the normal state and persists into the superconducting state, when presumably $\rho_s(T)$ is governed, at least in part, by fermionic excitations. Indeed, $\rho_s(T,x)$ seems to have a BCS-like dependence on $T_c(x)$, which, although not unexpected, is not straightforward to understand in pseudogapped superconductors where $T_c(x)$ and the excitation gap have little in common. Here, we contrast "extrinsic" and "intrinsic" theoretical approaches to the pseudogap and argue that the former (for example, associated with a competing order parameter) exhibits more obvious departures from BCS-like $T$ dependences in $\rho_s(T)$ than approaches which associate the pseudogap with the superconductivity itself. Examples of the latter are Fermi liquid based schemes as well as a pair fluctuation mean field theory. Thus far, the measured behavior of the superfluid density appears to argue against an extrinsic interpretation of the pseudogap, and supports instead its intrinsic origin.