Superconducting and Pseudogap effects on the interplane conductivity and Raman scattering cross section in the two dimensional Hubbard Model

TL;DR

This paper uses cluster dynamical mean field methods to study how superconductivity affects interplane conductivity and Raman scattering in the 2D Hubbard model, revealing insights into pseudogap physics relevant to high-temperature cuprates.

Contribution

It demonstrates that the Hubbard model captures the low-energy physics of pseudogap and superconductivity interplay, aligning with experimental data on cuprates.

Findings

Superconductivity reduces the amplitude of responses.

Superconducting response is broadened and shifted to higher frequency.

Results agree with experimental observations in cuprate superconductors.

Abstract

Cluster dynamical mean field methods are used to calculate the superconductivity-induced changes in the interplane conductivity and Raman scattering cross section of the two dimensional Hubbard model. When superconductivity emerges from the pseudogap, the superconducting response is found to be diminished in amplitude, broadened and, in the case of the interplane conductivity, shifted to higher frequency. The results are in agreement with data on high temperature copper-oxide superconductors indicating that the Hubbard model contains the essential low energy physics of the pseudogap and its interplay with superconductivity in the cuprates.