$d$-wave and $s^\pm$ Pairing Strengths in Ba$_2$CuO$_{3+\delta}$

TL;DR

This study uses first-principles modeling and spin-fluctuation calculations to analyze the pairing strengths in Ba$_2$CuO$_{3+\delta}$, revealing significant potential for both $d$-wave and $s^\\pm$-wave superconductivity, offering insights into high-$T_c$ mechanisms.

Contribution

The paper introduces a two-orbital model and RPA analysis to evaluate pairing channels in Ba$_2$CuO$_{3+\delta}$, highlighting the coexistence of $d$-wave and $s^\\pm$-wave pairing strengths.

Findings

Both $d$-wave and $s^\\pm$-wave channels show significant pairing strength.

Results suggest a close relationship between cuprate and Fe-based superconductors.

Implications for understanding high-$T_c$ pairing mechanisms.

Abstract

Using a first principles derived two-orbital model ($d_{x^2-y^2}$, $d_{3z^2-r^2}$) and a random phase approximation treatment of the spin-fluctuation pairing vertex, we calculate the $d$-wave and $s^\pm$-wave pairing strengths for a model of the recently discovered Ba$_2$CuO$_{3+\delta}$ superconductor. We find that there is significant pairing strength in both of these channels. These results provide an interesting perspective on the relationship between the cuprates and Fe-based superconductors and the high-$T_c$ pairing mechanism.