Pole structure of the electronic self-energy with coexistence of Charge order and Superconductivity

TL;DR

This paper investigates the pole structure of the electronic self-energy in systems with coexisting charge order and superconductivity, comparing theoretical models with numerical results to understand the pseudogap phase.

Contribution

It demonstrates that fractionalized Pair Density Wave models can replicate the pole structure observed in cluster dynamical mean field theory, linking pseudogap phenomena to charge and superconducting order fluctuations.

Findings

Pole structure matches between models and numerical data.

Fractionalized Pair Density Wave describes pseudogap as superposition of orders.

Phenomenological lifetime yields spectral functions consistent with simulations.

Abstract

We compare the pole structure of the electronic Green's function obtained by Cluster Dynamical Mean Field Theory to the results from the fractionalized Pair Density Wave idea. In the superconducting phase, we can consider the system in a state with coexistence of Superconducting and Charge order. Writing the Green's function in a way analogous to the previously proposed "hidden-fermions" model from S. Sakai et al (2016) leads to a similar pole structure for the self-energy. The fractionalization of the Pair Density Wave order also describes the pseudogap phase as a superposition of superconducting and charge order fluctuations. Considering a phenomenological lifetime for the particle-particle and particle-hole pairs leads to an electronic spectral function that matches the numerical results.