About possible Phonon to Magnon alignment in 2 dimensions and theory of superconductivity in Copper-Oxide planes

TL;DR

This paper proposes that anisotropic phonon dispersion in cuprates, caused by interaction with spin waves, enhances Cooper pairing and could explain high-temperature superconductivity in copper-oxide planes.

Contribution

It introduces a novel mechanism involving phonon-spin wave interaction leading to anisotropic phonon dispersion and potential superconductivity enhancement in cuprates.

Findings

Phonon dispersion becomes singular along |k_x|=|k_y| directions.

Interaction with spin waves dominates over free electron interactions.

Enhanced Cooper pairing potential in copper-oxide planes.

Abstract

We suggest that the phonon dispersion in cuprates becomes strongly anisotropic due to interaction with spin waves; moreover the phonon dispersion becomes singular along $|k_x|=|k_y|$ directions. This would allow more electrons to form Cooper pairs and increase temperature of the superconducting transition. The interaction of phonons with spin waves is more important than the interaction of phonons with free electrons, because spin waves do not have the Fermi surface constrain.