Pairing Symmetries of Unconventional High Temperature Superconductivity in a Zinc-Blende Structure

TL;DR

This paper classifies the pairing symmetries in three-dimensional zinc-blende superconductors, revealing a favored $d ext{+} id$ pairing state with unique nodal structures, advancing understanding of unconventional high-temperature superconductivity.

Contribution

It introduces a comprehensive classification of pairing symmetries in zinc-blende structures and identifies the dominant $d ext{+} id$ pairing state near half filling using slave boson mean-field calculations.

Findings

Favored $d ext{+} id$ pairing state near half filling.

Full $T_d$ symmetry with point nodes in quasiparticle spectrum.

Ubiquitous pairing symmetry in single- and three-orbital models.

Abstract

We classify the pairing symmetries of three-dimensional superconductivity in the zinc-blende structure which can support an electronic environment to host unconventional high temperature superconductivity, and calculate the pairing symmetry in the presence of strong electron-electron correlation by the slave boson mean-field approach. We find that the $d_{2z^2-x^2-y^2} \pm id_{x^2-y^2}$ pairing state, a three dimensional analogy of the $d\pm id$ pairing in a two dimensional square lattice, is ubiquitously favored near half filling upon hole doping in both single-orbital and three-orbital models. However, unlike the two dimensional counterpart, the Bogoliubov quasiparticle spectrum of the three dimensional state upholds the full $T_d$ point group symmetry and encompasses point nodes along certain high symmetric lines.