Topological asymmetry in the damping-pairing contribution of electron-boson scattering

TL;DR

This paper analyzes how anisotropic electron-boson scattering influences superconducting pairing and damping, revealing that higher harmonic anisotropies can enhance T_c by increasing pairing relative to damping.

Contribution

It introduces a harmonic analysis approach to quantify the impact of anisotropic scattering on pairing and damping, explaining variations in T_c and quasiparticle peaks in cuprates.

Findings

Higher harmonic anisotropies reduce damping contributions.

Enhanced anisotropy can significantly increase T_c.

Broader quasiparticle peaks in n-doped cuprates explained.

Abstract

We make a harmonic analysis of the pairing and damping contribution of a finite $k$ range isotropic electron-phonon (or other boson) scattering in an anisotropic two-dimensional electronic system. We show that the pairing contribution of the anisotropic part of the electronic system can be much larger than its damping contribution enhancing significantly T_c. The higher is the order of the harmonic of the electronic anisotropy, smaller is its damping contribution and higher can be the asymmetry in its damping-pairing contribution. This could explain the puzzle of a much broader quasiparticle peak in the n-doped than in the p-doped cuprates, their smaller T_c's being also attributed to larger damping effects.